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116185022272 = 26111377271657
BaseRepresentation
bin110110000110100101…
…0101011111101000000
3102002220010121122220001
41230031022223331000
53400421331203042
6125212532125344
711252113252234
oct1541512537500
9362803548801
10116185022272
1145301463970
121a626166854
13ac57a077b7
1458a27d65c4
1530500cbbb7
hex1b0d2abf40

116185022272 has 112 divisors (see below), whose sum is σ = 253851631488. Its totient is φ = 52322181120.

The previous prime is 116185022263. The next prime is 116185022281. The reversal of 116185022272 is 272220581611.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (116185022263) and next prime (116185022281).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70116868 + ... + 70118524.

It is an arithmetic number, because the mean of its divisors is an integer number (2266532424).

Almost surely, 2116185022272 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 116185022272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126925815744).

116185022272 is an abundant number, since it is smaller than the sum of its proper divisors (137666609216).

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

116185022272 is a wasteful number, since it uses less digits than its factorization.

116185022272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2544 (or 2534 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 37.

The spelling of 116185022272 in words is "one hundred sixteen billion, one hundred eighty-five million, twenty-two thousand, two hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 137 176 274 352 548 704 727 1096 1454 1507 1657 2192 2908 3014 3314 4384 5816 6028 6628 7997 8768 11632 12056 13256 15994 18227 23264 24112 26512 31988 36454 46528 48224 53024 63976 72908 96448 99599 106048 127952 145816 199198 227009 255904 291632 398396 454018 511808 583264 796792 908036 1095589 1166528 1204639 1593584 1816072 2191178 2409278 2497099 3187168 3632144 4382356 4818556 4994198 6374336 7264288 8764712 9637112 9988396 13251029 14528576 17529424 19274224 19976792 26502058 35058848 38548448 39953584 53004116 70117696 77096896 79907168 106008232 159814336 165035543 212016464 330071086 424032928 660142172 848065856 1320284344 1815390973 2640568688 3630781946 5281137376 7261563892 10562274752 14523127784 29046255568 58092511136 116185022272