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5403918672 = 2433372331451
BaseRepresentation
bin1010000100001100…
…10100000101010000
3111221121102111211000
411002012110011100
542031400344142
62252120422000
7250625356635
oct50206240520
914847374730
105403918672
11232340a099
121069917900
13681742a19
143939a618c
1521964114c
hex142194150

5403918672 has 160 divisors (see below), whose sum is σ = 16009868160. Its totient is φ = 1743897600.

The previous prime is 5403918647. The next prime is 5403918713. The reversal of 5403918672 is 2768193045.

5403918672 is a `hidden beast` number, since 540 + 39 + 1 + 8 + 6 + 72 = 666.

5403918672 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

5403918672 is strictly pandigital in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3723547 + ... + 3724997.

It is an arithmetic number, because the mean of its divisors is an integer number (100061676).

It is a 1-persistent number, because it is pandigital, but 2⋅5403918672 = 10807837344 is not.

Almost surely, 25403918672 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 5403918672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8004934080).

5403918672 is an abundant number, since it is smaller than the sum of its proper divisors (10605949488).

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

5403918672 is a wasteful number, since it uses less digits than its factorization.

5403918672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1738 (or 1726 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 5403918672 is about 73511.3506337627. The cubic root of 5403918672 is about 1754.8349205528.

The spelling of 5403918672 in words is "five billion, four hundred three million, nine hundred eighteen thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 37 48 54 72 74 108 111 144 148 216 222 233 296 333 432 444 466 592 666 699 888 932 999 1332 1398 1451 1776 1864 1998 2097 2664 2796 2902 3728 3996 4194 4353 5328 5592 5804 6291 7992 8388 8621 8706 11184 11608 12582 13059 15984 16776 17242 17412 23216 25164 25863 26118 33552 34484 34824 39177 50328 51726 52236 53687 68968 69648 77589 78354 100656 103452 104472 107374 137936 155178 156708 161061 206904 208944 214748 232767 310356 313416 322122 338083 413808 429496 465534 483183 620712 626832 644244 676166 858992 931068 966366 1014249 1241424 1288488 1352332 1449549 1862136 1932732 2028498 2576976 2704664 2899098 3042747 3724272 3865464 4056996 5409328 5798196 6085494 7730928 8113992 9128241 11596392 12170988 12509071 16227984 18256482 23192784 24341976 25018142 36512964 37527213 48683952 50036284 73025928 75054426 100072568 112581639 146051856 150108852 200145136 225163278 300217704 337744917 450326556 600435408 675489834 900653112 1350979668 1801306224 2701959336 5403918672