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61058031156 = 223259149192931
BaseRepresentation
bin111000110111010101…
…111001111000110100
312211121020110100122100
4320313111321320310
52000021323444111
644014421302100
74261034462433
oct706725717064
9184536410570
1061058031156
1123992737581
12ba00264930
1359b0a05125
142d531c911a
1518c5598756
hexe37579e34

61058031156 has 72 divisors (see below), whose sum is σ = 158011308000. Its totient is φ = 19873333440.

The previous prime is 61058031143. The next prime is 61058031187. The reversal of 61058031156 is 65113085016.

61058031156 is a `hidden beast` number, since 6 + 10 + 580 + 3 + 11 + 56 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 61058031156.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 220011 + ... + 412941.

It is an arithmetic number, because the mean of its divisors is an integer number (2194601500).

Almost surely, 261058031156 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 61058031156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79005654000).

61058031156 is an abundant number, since it is smaller than the sum of its proper divisors (96953276844).

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

61058031156 is a wasteful number, since it uses less digits than its factorization.

61058031156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193149 (or 193144 counting only the distinct ones).

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

The spelling of 61058031156 in words is "sixty-one billion, fifty-eight million, thirty-one thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 59 118 149 177 236 298 354 447 531 596 708 894 1062 1341 1788 2124 2682 5364 8791 17582 26373 35164 52746 79119 105492 158238 192931 316476 385862 578793 771724 1157586 1736379 2315172 3472758 6945516 11382929 22765858 28746719 34148787 45531716 57493438 68297574 86240157 102446361 114986876 136595148 172480314 204892722 258720471 344960628 409785444 517440942 1034881884 1696056421 3392112842 5088169263 6784225684 10176338526 15264507789 20352677052 30529015578 61058031156