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1371924208896 = 2835349376827
BaseRepresentation
bin10011111101101101000…
…011100001110100000000
311212011011202102211110220
4103331231003201310000
5134434200044141041
62530130413023040
7201055363236453
oct23755503416400
94764152384426
101371924208896
114899144a494a
121a1a7a784a80
139c4ab0a0727
144a58996b49a
1525a48426d66
hex13f6d0e1d00

1371924208896 has 144 divisors (see below), whose sum is σ = 3721510505664. Its totient is φ = 448523026432.

The previous prime is 1371924208891. The next prime is 1371924208937. The reversal of 1371924208896 is 6988024291731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1371924208891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 200952235 + ... + 200959061.

It is an arithmetic number, because the mean of its divisors is an integer number (25843822956).

Almost surely, 21371924208896 is an apocalyptic number.

1371924208896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1371924208896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1860755252832).

1371924208896 is an abundant number, since it is smaller than the sum of its proper divisors (2349586296768).

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

1371924208896 is an equidigital number, since it uses as much as digits as its factorization.

1371924208896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11836 (or 11822 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 60.

The spelling of 1371924208896 in words is "one trillion, three hundred seventy-one billion, nine hundred twenty-four million, two hundred eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 128 159 192 212 256 318 384 424 636 768 848 1272 1696 2544 3392 4937 5088 6784 6827 9874 10176 13568 13654 14811 19748 20352 20481 27308 29622 39496 40704 40962 54616 59244 78992 81924 109232 118488 157984 163848 218464 236976 261661 315968 327696 361831 436928 473952 523322 631936 655392 723662 784983 873856 947904 1046644 1085493 1263872 1310784 1447324 1569966 1747712 1895808 2093288 2170986 2621568 2894648 3139932 3791616 4186576 4341972 5243136 5789296 6279864 8373152 8683944 11578592 12559728 16746304 17367888 23157184 25119456 33492608 33704899 34735776 46314368 50238912 66985216 67409798 69471552 92628736 100477824 101114697 134819596 138943104 200955648 202229394 269639192 277886208 404458788 539278384 808917576 1078556768 1617835152 1786359647 2157113536 3235670304 3572719294 4314227072 5359078941 6471340608 7145438588 8628454144 10718157882 12942681216 14290877176 21436315764 25885362432 28581754352 42872631528 57163508704 85745263056 114327017408 171490526112 228654034816 342981052224 457308069632 685962104448 1371924208896