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116100090505044 = 223217527335976869
BaseRepresentation
bin11010011001011110101000…
…101001110010011101010100
3120020002001121221000210211200
4122121132220221302131110
5110204140441132130134
61050531351213432500
733311645321344452
oct3231365051623524
9506061557023750
10116100090505044
1133aa18544044a8
1211030b8549b730
134ca2264b0b769
1420953babcd9d2
15d6506a811499
hex6997a8a72754

116100090505044 has 72 divisors (see below), whose sum is σ = 310797416278440. Its totient is φ = 36416649234432.

The previous prime is 116100090505043. The next prime is 116100090505051. The reversal of 116100090505044 is 440505090001611.

116100090505044 is a `hidden beast` number, since 1 + 1 + 6 + 10 + 0 + 0 + 90 + 50 + 504 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 23824278144144 + 92275812360900 = 4881012^2 + 9606030^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116100090505043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14761359 + ... + 21215510.

It is an arithmetic number, because the mean of its divisors is an integer number (4316630781645).

Almost surely, 2116100090505044 is an apocalyptic number.

It is an amenable number.

116100090505044 is an abundant number, since it is smaller than the sum of its proper divisors (194697325773396).

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

116100090505044 is a wasteful number, since it uses less digits than its factorization.

116100090505044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35982169 (or 35982164 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 116100090505044 in words is "one hundred sixteen trillion, one hundred billion, ninety million, five hundred five thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 5273 10546 15819 21092 31638 47457 63276 89641 94914 179282 189828 268923 358564 537846 806769 1075692 1613538 3227076 35976869 71953738 107930607 143907476 215861214 323791821 431722428 611606773 647583642 1223213546 1295167284 1834820319 2446427092 3669640638 5504460957 7339281276 11008921914 22017843828 189706030237 379412060474 569118090711 758824120948 1138236181422 1707354272133 2276472362844 3225002514029 3414708544266 6450005028058 6829417088532 9675007542087 12900010056116 19350015084174 29025022626261 38700030168348 58050045252522 116100090505044