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3359372113881 = 34724726192
BaseRepresentation
bin110000111000101010001…
…011100111011111011001
3102220011010102022012010000
4300320222023213133121
5420014443230121011
611051135123043213
7464464241552400
oct60705213473731
912804112265100
103359372113881
111085779a85993
1246309ab10509
131b4a30ca8334
14b8847366637
155c5b947a356
hex30e2a2e77d9

3359372113881 has 135 divisors (see below), whose sum is σ = 5974138066149. Its totient is φ = 1875762563472.

The previous prime is 3359372113849. The next prime is 3359372113891. The reversal of 3359372113881 is 1883112739533.

It is a happy number.

The square root of 3359372113881 is 1832859.

It is a perfect power (a square), and thus also a powerful number.

3359372113881 is a `hidden beast` number, since 3 + 3 + 593 + 7 + 2 + 11 + 38 + 8 + 1 = 666.

It is not a de Polignac number, because 3359372113881 - 25 = 3359372113849 is a prime.

It is a super-2 number, since 2×33593721138812 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3359372113891) by changing a digit.

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 134 ways as a sum of consecutive naturals, for example, 5427095190 + ... + 5427095808.

Almost surely, 23359372113881 is an apocalyptic number.

3359372113881 is the 1832859-th square number.

3359372113881 is the 916430-th centered octagonal number.

It is an amenable number.

3359372113881 is a deficient number, since it is larger than the sum of its proper divisors (2614765952268).

3359372113881 is an frugal number, since it uses more digits than its factorization.

3359372113881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1358 (or 676 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The spelling of 3359372113881 in words is "three trillion, three hundred fifty-nine billion, three hundred seventy-two million, one hundred thirteen thousand, eight hundred eighty-one".

Divisors: 1 3 7 9 21 27 47 49 63 81 141 147 189 329 423 441 567 619 987 1269 1323 1857 2209 2303 2961 3807 3969 4333 5571 6627 6909 8883 12999 15463 16713 19881 20727 26649 29093 30331 38997 46389 50139 59643 62181 87279 90993 108241 116991 139167 178929 186543 203651 261837 272979 324723 350973 383161 417501 610953 785511 818937 974169 1149483 1252503 1367371 1425557 1832859 2356533 2456811 2682127 2922507 3448449 4102113 4276671 5498577 8046381 8767521 9571597 10345347 12306339 12830013 16495731 18008567 18774889 24139143 28714791 31036041 36919017 38490039 54025701 56324667 67001179 72417429 86144373 110757051 115470117 126059969 162077103 168974001 201003537 217252287 258433119 378179907 486231309 506922003 603010611 775299357 846402649 882419783 1134539721 1458693927 1520766009 1809031833 2539207947 2647259349 3403619163 5427095499 5924818543 7617623841 7941778047 10210857489 17774455629 22852871523 23825334141 41473729801 53323366887 68558614569 71476002423 124421189403 159970100661 373263568209 479910301983 1119790704627 3359372113881