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323091380720064 = 26311264595781733
BaseRepresentation
bin100100101110110011001001…
…0111110100101000111000000
31120100222020022211121220221110
41021131212102332211013000
5314322012121431020224
63103054044203523320
7125024403415205415
oct11135462276450700
91510866284556843
10323091380720064
1193a46315494790
12302a1335829540
1310b385040c8a28
1459ad9c5dbc10c
1527545355ec929
hex125d992fa51c0

323091380720064 has 112 divisors (see below), whose sum is σ = 932594619277440. Its totient is φ = 97902761763840.

The previous prime is 323091380720051. The next prime is 323091380720093. The reversal of 323091380720064 is 460027083190323.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 323091380719995 and 323091380720022.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52990542 + ... + 58772274.

It is an arithmetic number, because the mean of its divisors is an integer number (8326737672120).

Almost surely, 2323091380720064 is an apocalyptic number.

It is an amenable number.

323091380720064 is an abundant number, since it is smaller than the sum of its proper divisors (609503238557376).

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

323091380720064 is a wasteful number, since it uses less digits than its factorization.

323091380720064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5808218 (or 5808208 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 48.

The spelling of 323091380720064 in words is "three hundred twenty-three trillion, ninety-one billion, three hundred eighty million, seven hundred twenty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 26459 52918 79377 105836 158754 211672 291049 317508 423344 582098 635016 846688 873147 1164196 1270032 1693376 1746294 2328392 2540064 3492588 4656784 5080128 5781733 6985176 9313568 11563466 13970352 17345199 18627136 23126932 27940704 34690398 46253864 55881408 63599063 69380796 92507728 127198126 138761592 185015456 190797189 254396252 277523184 370030912 381594378 508792504 555046368 763188756 1017585008 1110092736 1526377512 2035170016 3052755024 4070340032 6105510048 12211020096 152978873447 305957746894 458936620341 611915493788 917873240682 1223830987576 1682767607917 1835746481364 2447661975152 3365535215834 3671492962728 4895323950304 5048302823751 6731070431668 7342985925456 9790647900608 10096605647502 13462140863336 14685971850912 20193211295004 26924281726672 29371943701824 40386422590008 53848563453344 80772845180016 107697126906688 161545690360032 323091380720064