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12057154074 = 23773112703
BaseRepresentation
bin10110011101010100…
…11001001000011010
31011010021122220000000
423032222121020122
5144143112412244
65312230353430
7604534055460
oct131652311032
934107586000
1012057154074
115127a49349
122405abb876
1311a1c562c4
14825458830
154a87b0169
hex2cea9921a

12057154074 has 128 divisors (see below), whose sum is σ = 32001884160. Its totient is φ = 3333512880.

The previous prime is 12057154027. The next prime is 12057154079. The reversal of 12057154074 is 47045175021.

12057154074 is a `hidden beast` number, since 12 + 0 + 571 + 5 + 4 + 0 + 74 = 666.

It is not an unprimeable number, because it can be changed into a prime (12057154079) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 942807 + ... + 955509.

It is an arithmetic number, because the mean of its divisors is an integer number (250014720).

Almost surely, 212057154074 is an apocalyptic number.

12057154074 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12057154074, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16000942080).

12057154074 is an abundant number, since it is smaller than the sum of its proper divisors (19944730086).

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

12057154074 is an equidigital number, since it uses as much as digits as its factorization.

12057154074 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12764 (or 12746 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The spelling of 12057154074 in words is "twelve billion, fifty-seven million, one hundred fifty-four thousand, seventy-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 31 42 54 62 63 81 93 126 162 186 189 217 243 279 378 434 486 558 567 651 729 837 1134 1302 1458 1674 1701 1953 2187 2511 3402 3906 4374 5022 5103 5859 7533 10206 11718 12703 15066 15309 17577 22599 25406 30618 35154 38109 45198 52731 67797 76218 88921 105462 114327 135594 158193 177842 228654 266763 316386 342981 393793 474579 533526 685962 787586 800289 949158 1028943 1181379 1600578 2057886 2362758 2400867 2756551 3086829 3544137 4801734 5513102 6173658 7088274 7202601 8269653 9260487 10632411 14405202 16539306 18520974 21264822 21607803 24808959 27781461 31897233 43215606 49617918 55562922 63794466 64823409 74426877 95691699 129646818 148853754 191383398 194470227 223280631 287075097 388940454 446561262 574150194 669841893 861225291 1339683786 1722450582 2009525679 4019051358 6028577037 12057154074