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61541413976 = 237414921503
BaseRepresentation
bin111001010100001001…
…110111010001011000
312212211221000202012202
4321110021313101120
52002014100221401
644134410025332
74306024250000
oct712411672130
9185757022182
1061541413976
1124110584209
12bb16118248
135a59bbc773
142d9b497000
151902c2d06b
hexe54277458

61541413976 has 80 divisors (see below), whose sum is σ = 135523584000. Its totient is φ = 26196660672.

The previous prime is 61541413963. The next prime is 61541414023. The reversal of 61541413976 is 67931414516.

It is a self number, because there is not a number n which added to its sum of digits gives 61541413976.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2851241 + ... + 2872743.

It is an arithmetic number, because the mean of its divisors is an integer number (1694044800).

Almost surely, 261541413976 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 61541413976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67761792000).

61541413976 is an abundant number, since it is smaller than the sum of its proper divisors (73982170024).

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

61541413976 is a wasteful number, since it uses less digits than its factorization.

61541413976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21686 (or 21661 counting only the distinct ones).

The product of its digits is 544320, while the sum is 47.

The spelling of 61541413976 in words is "sixty-one billion, five hundred forty-one million, four hundred thirteen thousand, nine hundred seventy-six".

Divisors: 1 2 4 7 8 14 28 49 56 98 149 196 298 343 392 596 686 1043 1192 1372 2086 2401 2744 4172 4802 7301 8344 9604 14602 19208 21503 29204 43006 51107 58408 86012 102214 150521 172024 204428 301042 357749 408856 602084 715498 1053647 1204168 1430996 2107294 2861992 3203947 4214588 6407894 7375529 8429176 12815788 14751058 22427629 25631576 29502116 44855258 51628703 59004232 89710516 103257406 156993403 179421032 206514812 313986806 413029624 627973612 1098953821 1255947224 2197907642 4395815284 7692676747 8791630568 15385353494 30770706988 61541413976