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116900259126 = 2373232699181
BaseRepresentation
bin110110011011111001…
…1000110010100110110
3102011201222110110101220
41230313303012110312
53403402431243001
6125411522131210
711305616544000
oct1546763062466
9364658413356
10116900259126
114563916aa02
121a7a57b0b06
13b03cc50281
14592d7b9370
153092cadc36
hex1b37cc6536

116900259126 has 128 divisors (see below), whose sum is σ = 285596928000. Its totient is φ = 31825664640.

The previous prime is 116900259107. The next prime is 116900259163. The reversal of 116900259126 is 621952009611.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12728256 + ... + 12737436.

It is an arithmetic number, because the mean of its divisors is an integer number (2231226000).

Almost surely, 2116900259126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116900259126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142798464000).

116900259126 is an abundant number, since it is smaller than the sum of its proper divisors (168696668874).

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

116900259126 is a wasteful number, since it uses less digits than its factorization.

116900259126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9499 (or 9485 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 42.

The spelling of 116900259126 in words is "one hundred sixteen billion, nine hundred million, two hundred fifty-nine thousand, one hundred twenty-six".

Divisors: 1 2 3 6 7 14 21 23 42 46 49 69 98 138 147 161 269 294 322 343 483 538 686 807 966 1029 1127 1614 1883 2058 2254 3381 3766 5649 6187 6762 7889 9181 11298 12374 13181 15778 18362 18561 23667 26362 27543 37122 39543 43309 47334 55086 64267 79086 86618 92267 128534 129927 184534 192801 211163 259854 276801 303163 385602 422326 449869 553602 606326 633489 899738 909489 1266978 1349607 1478141 1818978 2122141 2469689 2699214 2956282 3149083 4244282 4434423 4939378 6298166 6366423 7409067 8868846 9447249 10346987 12732846 14818134 17287823 18894498 20693974 31040961 34575646 51863469 56802847 62081922 72428909 103726938 113605694 121014761 144857818 170408541 217286727 242029522 340817082 363044283 397619929 434573454 726088566 795239858 847103327 1192859787 1694206654 2385719574 2541309981 2783339503 5082619962 5566679006 8350018509 16700037018 19483376521 38966753042 58450129563 116900259126