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906946374031872 = 29319231351166771
BaseRepresentation
bin1100111000110111001110100…
…0011101000101101000000000
311101221020020010012002022010220
43032031303220131011220000
51422333402133223004442
612532525225023423040
7362014466424066156
oct31615635035055000
94357206105068126
10906946374031872
11242a87885109189
1285878349754a80
132cc0a8a34c7475
1411dd661dbbb3d6
156ecbb53394eec
hex338dce8745a00

906946374031872 has 160 divisors (see below), whose sum is σ = 2653907726891520. Its totient is φ = 273951764951040.

The previous prime is 906946374031871. The next prime is 906946374031883. The reversal of 906946374031872 is 278130473649609.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a junction number, because it is equal to n+sod(n) for n = 906946374031797 and 906946374031806.

It is not an unprimeable number, because it can be changed into a prime (906946374031871) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 674912154 + ... + 676254617.

It is an arithmetic number, because the mean of its divisors is an integer number (16586923293072).

Almost surely, 2906946374031872 is an apocalyptic number.

906946374031872 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

906946374031872 is an abundant number, since it is smaller than the sum of its proper divisors (1746961352859648).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

906946374031872 is a wasteful number, since it uses less digits than its factorization.

906946374031872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1351166834 (or 1351166818 counting only the distinct ones).

The product of its (nonzero) digits is 329204736, while the sum is 69.

The spelling of 906946374031872 in words is "nine hundred six trillion, nine hundred forty-six billion, three hundred seventy-four million, thirty-one thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 19 23 24 32 38 46 48 57 64 69 76 92 96 114 128 138 152 184 192 228 256 276 304 368 384 437 456 512 552 608 736 768 874 912 1104 1216 1311 1472 1536 1748 1824 2208 2432 2622 2944 3496 3648 4416 4864 5244 5888 6992 7296 8832 9728 10488 11776 13984 14592 17664 20976 27968 29184 35328 41952 55936 83904 111872 167808 223744 335616 671232 1351166771 2702333542 4053500313 5404667084 8107000626 10809334168 16214001252 21618668336 25672168649 31076835733 32428002504 43237336672 51344337298 62153671466 64856005008 77016505947 86474673344 93230507199 102688674596 124307342932 129712010016 154033011894 172949346688 186461014398 205377349192 248614685864 259424020032 308066023788 345898693376 372922028796 410754698384 497229371728 518848040064 590459878927 616132047576 691797386752 745844057592 821509396768 994458743456 1037696080128 1180919757854 1232264095152 1491688115184 1643018793536 1771379636781 1988917486912 2075392160256 2361839515708 2464528190304 2983376230368 3286037587072 3542759273562 3977834973824 4723679031416 4929056380608 5966752460736 6572075174144 7085518547124 7955669947648 9447358062832 9858112761216 11933504921472 13144150348288 14171037094248 15911339895296 18894716125664 19716225522432 23867009842944 28342074188496 37789432251328 39432451044864 47734019685888 56684148376992 75578864502656 113368296753984 151157729005312 226736593507968 302315458010624 453473187015936 906946374031872