Search a number
-
+
46468720704 = 263771486971
BaseRepresentation
bin101011010001110000…
…000110100001000000
311102221111002121002210
4223101300012201000
51230131443030304
633203013542120
73233352415560
oct532160064100
9142844077083
1046468720704
111878642170a
12900a344940
1344c72a1053
14236b74cda0
15131e859c89
hexad1c06840

46468720704 has 112 divisors (see below), whose sum is σ = 142491902976. Its totient is φ = 13089753600.

The previous prime is 46468720693. The next prime is 46468720733. The reversal of 46468720704 is 40702786464.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 148062 + ... + 338909.

Almost surely, 246468720704 is an apocalyptic number.

It is an amenable number.

46468720704 is an abundant number, since it is smaller than the sum of its proper divisors (96023182272).

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

46468720704 is a wasteful number, since it uses less digits than its factorization.

46468720704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487064 (or 487054 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 48.

The spelling of 46468720704 in words is "forty-six billion, four hundred sixty-eight million, seven hundred twenty thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 71 84 96 112 142 168 192 213 224 284 336 426 448 497 568 672 852 994 1136 1344 1491 1704 1988 2272 2982 3408 3976 4544 5964 6816 7952 11928 13632 15904 23856 31808 47712 95424 486971 973942 1460913 1947884 2921826 3408797 3895768 5843652 6817594 7791536 10226391 11687304 13635188 15583072 20452782 23374608 27270376 31166144 34574941 40905564 46749216 54540752 69149882 81811128 93498432 103724823 109081504 138299764 163622256 207449646 218163008 242024587 276599528 327244512 414899292 484049174 553199056 654489024 726073761 829798584 968098348 1106398112 1452147522 1659597168 1936196696 2212796224 2904295044 3319194336 3872393392 5808590088 6638388672 7744786784 11617180176 15489573568 23234360352 46468720704