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30657400640 = 265475934549
BaseRepresentation
bin11100100011010100…
…101100111101000000
32221010120022022111222
4130203110230331000
51000241243310030
622030034254212
72133501414536
oct344324547500
987116268458
1030657400640
1112002337949
125b37127368
132b7763a769
1416ab894156
15be66d43e5
hex72352cf40

30657400640 has 112 divisors (see below), whose sum is σ = 75822048000. Its totient is φ = 11798280192.

The previous prime is 30657400637. The next prime is 30657400667. The reversal of 30657400640 is 4600475603.

It is a self number, because there is not a number n which added to its sum of digits gives 30657400640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 870086 + ... + 904634.

Almost surely, 230657400640 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 30657400640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37911024000).

30657400640 is an abundant number, since it is smaller than the sum of its proper divisors (45164647360).

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

30657400640 is a wasteful number, since it uses less digits than its factorization.

30657400640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34672 (or 34662 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 35.

The spelling of 30657400640 in words is "thirty billion, six hundred fifty-seven million, four hundred thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 47 59 64 80 94 118 160 188 235 236 295 320 376 470 472 590 752 940 944 1180 1504 1880 1888 2360 2773 3008 3760 3776 4720 5546 7520 9440 11092 13865 15040 18880 22184 27730 34549 44368 55460 69098 88736 110920 138196 172745 177472 221840 276392 345490 443680 552784 690980 887360 1105568 1381960 1623803 2038391 2211136 2763920 3247606 4076782 5527840 6495212 8119015 8153564 10191955 11055680 12990424 16238030 16307128 20383910 25980848 32476060 32614256 40767820 51961696 64952120 65228512 81535640 95804377 103923392 129904240 130457024 163071280 191608754 259808480 326142560 383217508 479021885 519616960 652285120 766435016 958043770 1532870032 1916087540 3065740064 3832175080 6131480128 7664350160 15328700320 30657400640