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57146551704 = 23341140119993
BaseRepresentation
bin110101001110001100…
…110010110110011000
312110111122022121120000
4311032030302312120
51414014004123304
642130332533000
74062100450314
oct651614626630
9173448277500
1057146551704
1122265814130
12b0aa321160
135509538148
142aa1918b44
151746eab939
hexd4e332d98

57146551704 has 160 divisors (see below), whose sum is σ = 175058666640. Its totient is φ = 17273088000.

The previous prime is 57146551691. The next prime is 57146551711. The reversal of 57146551704 is 40715564175.

57146551704 is a `hidden beast` number, since 5 + 71 + 4 + 65 + 517 + 0 + 4 = 666.

57146551704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 57146551704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2848332 + ... + 2868324.

Almost surely, 257146551704 is an apocalyptic number.

57146551704 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57146551704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87529333320).

57146551704 is an abundant number, since it is smaller than the sum of its proper divisors (117912114936).

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

57146551704 is a wasteful number, since it uses less digits than its factorization.

57146551704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20423 (or 20410 counting only the distinct ones).

The product of its (nonzero) digits is 588000, while the sum is 45.

The spelling of 57146551704 in words is "fifty-seven billion, one hundred forty-six million, five hundred fifty-one thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 132 162 198 216 264 297 324 396 401 594 648 792 802 891 1188 1203 1604 1782 2376 2406 3208 3564 3609 4411 4812 7128 7218 8822 9624 10827 13233 14436 17644 19993 21654 26466 28872 32481 35288 39699 39986 43308 52932 59979 64962 79398 79972 86616 105864 119097 119958 129924 158796 159944 179937 219923 238194 239916 259848 317592 357291 359874 439846 476388 479832 539811 659769 714582 719748 879692 952776 1079622 1319538 1429164 1439496 1619433 1759384 1979307 2159244 2639076 2858328 3238866 3958614 4318488 5278152 5937921 6477732 7917228 8017193 11875842 12955464 15834456 16034386 17813763 23751684 24051579 32068772 35627526 47503368 48103158 64137544 71255052 72154737 88189123 96206316 142510104 144309474 176378246 192412632 216464211 264567369 288618948 352756492 432928422 529134738 577237896 649392633 705512984 793702107 865856844 1058269476 1298785266 1587404214 1731713688 2116538952 2381106321 2597570532 3174808428 4762212642 5195141064 6349616856 7143318963 9524425284 14286637926 19048850568 28573275852 57146551704