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61051550148 = 22337164112421
BaseRepresentation
bin111000110110111101…
…001011100111000100
312211120210021002101000
4320312331023213010
52000013144101043
644014030333300
74260625420401
oct706675134704
9184523232330
1061051550148
112398a010276
12b9ba05a230
1359ac576204
142d523bd2a8
1518c4c182d3
hexe36f4b9c4

61051550148 has 96 divisors (see below), whose sum is σ = 160774467840. Its totient is φ = 20030976000.

The previous prime is 61051550141. The next prime is 61051550149. The reversal of 61051550148 is 84105515016.

61051550148 is a `hidden beast` number, since 6 + 10 + 51 + 550 + 1 + 48 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (61051550141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4908978 + ... + 4921398.

It is an arithmetic number, because the mean of its divisors is an integer number (1674734040).

Almost surely, 261051550148 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 61051550148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80387233920).

61051550148 is an abundant number, since it is smaller than the sum of its proper divisors (99722917692).

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

61051550148 is a wasteful number, since it uses less digits than its factorization.

61051550148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13146 (or 13138 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 36.

The spelling of 61051550148 in words is "sixty-one billion, fifty-one million, five hundred fifty thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 71 108 142 213 284 426 639 641 852 1278 1282 1917 1923 2556 2564 3834 3846 5769 7668 7692 11538 12421 17307 23076 24842 34614 37263 45511 49684 69228 74526 91022 111789 136533 149052 182044 223578 273066 335367 409599 447156 546132 670734 819198 881891 1228797 1341468 1638396 1763782 2457594 2645673 3527564 4915188 5291346 7937019 7961861 10582692 15874038 15923722 23811057 23885583 31748076 31847444 47622114 47771166 71656749 95244228 95542332 143313498 214970247 286626996 429940494 565292131 859880988 1130584262 1695876393 2261168524 3391752786 5087629179 6783505572 10175258358 15262887537 20350516716 30525775074 61051550148