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118745647956 = 2232134147131671
BaseRepresentation
bin110111010010111001…
…0101100101101010100
3102100111120212220222100
41232211302230231110
53421142341213311
6130315003202100
711402425232235
oct1564562545524
9370446786870
10118745647956
11463a5905941
121b01b816330
13b275372920
145a6690908c
15314ecd0a56
hex1ba5cacb54

118745647956 has 144 divisors (see below), whose sum is σ = 338184258048. Its totient is φ = 34887283200.

The previous prime is 118745647927. The next prime is 118745647967. The reversal of 118745647956 is 659746547811.

118745647956 is a `hidden beast` number, since 1 + 18 + 7 + 4 + 564 + 7 + 9 + 56 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 118745647893 and 118745647902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 836001 + ... + 967671.

It is an arithmetic number, because the mean of its divisors is an integer number (2348501792).

Almost surely, 2118745647956 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 118745647956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169092129024).

118745647956 is an abundant number, since it is smaller than the sum of its proper divisors (219438610092).

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

118745647956 is a wasteful number, since it uses less digits than its factorization.

118745647956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131782 (or 131777 counting only the distinct ones).

The product of its digits is 50803200, while the sum is 63.

The spelling of 118745647956 in words is "one hundred eighteen billion, seven hundred forty-five million, six hundred forty-seven thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 41 47 52 78 82 94 117 123 141 156 164 188 234 246 282 369 423 468 492 533 564 611 738 846 1066 1222 1476 1599 1692 1833 1927 2132 2444 3198 3666 3854 4797 5499 5781 6396 7332 7708 9594 10998 11562 17343 19188 21996 23124 25051 34686 50102 69372 75153 100204 131671 150306 225459 263342 300612 395013 450918 526684 790026 901836 1185039 1580052 1711723 2370078 3423446 4740156 5135169 5398511 6188537 6846892 10270338 10797022 12377074 15405507 16195533 18565611 20540676 21594044 24754148 30811014 32391066 37131222 48586599 55696833 61622028 64782132 70180643 74262444 80450981 97173198 111393666 140361286 160901962 194346396 210541929 222787332 241352943 253730017 280722572 321803924 421083858 482705886 507460034 631625787 724058829 761190051 842167716 965411772 1014920068 1263251574 1448117658 1522380102 2283570153 2526503148 2896235316 3044760204 3298490221 4567140306 6596980442 9134280612 9895470663 13193960884 19790941326 29686411989 39581882652 59372823978 118745647956