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261196236096 = 26343109290249
BaseRepresentation
bin1111001101000010000…
…0100100010101000000
3220222012012210120200020
43303100200210111000
513234412214023341
6315554125453440
724604454242335
oct3632040442500
9828165716606
10261196236096
11a0855514134
1242756111280
131b827853573
14c8db7a498c
156bdac1c566
hex3cd0824540

261196236096 has 112 divisors (see below), whose sum is σ = 713643480000. Its totient is φ = 84260155392.

The previous prime is 261196236089. The next prime is 261196236107. The reversal of 261196236096 is 690632691162.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 754780 + ... + 1045028.

Almost surely, 2261196236096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 261196236096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356821740000).

261196236096 is an abundant number, since it is smaller than the sum of its proper divisors (452447243904).

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

261196236096 is a wasteful number, since it uses less digits than its factorization.

261196236096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290416 (or 290406 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 51.

The spelling of 261196236096 in words is "two hundred sixty-one billion, one hundred ninety-six million, two hundred thirty-six thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 109 129 172 192 218 258 327 344 436 516 654 688 872 1032 1308 1376 1744 2064 2616 2752 3488 4128 4687 5232 6976 8256 9374 10464 14061 18748 20928 28122 37496 56244 74992 112488 149984 224976 290249 299968 449952 580498 870747 899904 1160996 1741494 2321992 3482988 4643984 6965976 9287968 12480707 13931952 18575936 24961414 27863904 31637141 37442121 49922828 55727808 63274282 74884242 94911423 99845656 126548564 149768484 189822846 199691312 253097128 299536968 379645692 399382624 506194256 599073936 759291384 798765248 1012388512 1198147872 1360397063 1518582768 2024777024 2396295744 2720794126 3037165536 4081191189 5441588252 6074331072 8162382378 10883176504 16324764756 21766353008 32649529512 43532706016 65299059024 87065412032 130598118048 261196236096