Search a number
-
+
106616060155616 = 2511294792904857
BaseRepresentation
bin11000001111011101111100…
…011001001001011011100000
3111222111101200112201120110112
4120033131330121021123200
5102433244142344434431
61014430424124550452
731312520234444534
oct3017357431113340
9458441615646415
10106616060155616
1130a75687534800
12bb5aaa69b2428
134764b0b4bc1ab
141c4835dbd5bc4
15c4d4dd4eec2b
hex60f77c6496e0

106616060155616 has 72 divisors (see below), whose sum is σ = 230741353125360. Its totient is φ = 48456716295680.

The previous prime is 106616060155601. The next prime is 106616060155651. The reversal of 106616060155616 is 616551060616601.

It is a super-2 number, since 2×1066160601556162 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35250260 + ... + 38155116.

It is an arithmetic number, because the mean of its divisors is an integer number (3204741015630).

Almost surely, 2106616060155616 is an apocalyptic number.

106616060155616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106616060155616 is an abundant number, since it is smaller than the sum of its proper divisors (124125292969744).

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

106616060155616 is a wasteful number, since it uses less digits than its factorization.

106616060155616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2914368 (or 2914349 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 50.

The spelling of 106616060155616 in words is "one hundred six trillion, six hundred sixteen billion, sixty million, one hundred fifty-five thousand, six hundred sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 242 352 484 968 1936 3872 9479 18958 37916 75832 104269 151664 208538 303328 417076 834152 1146959 1668304 2293918 2904857 3336608 4587836 5809714 9175672 11619428 18351344 23238856 31953427 36702688 46477712 63906854 92955424 127813708 255627416 351487697 511254832 702975394 1022509664 1405950788 2811901576 5623803152 11247606304 27535139503 55070279006 110140558012 220281116024 302886534533 440562232048 605773069066 881124464096 1211546138132 2423092276264 3331751879863 4846184552528 6663503759726 9692369105056 13327007519452 26654015038904 53308030077808 106616060155616