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483455407968 = 253213196796213
BaseRepresentation
bin1110000100100000011…
…00000001011101100000
31201012212211122100121200
413002100030001131200
530410104041023333
61010032451121200
746633322110221
oct7022014013540
91635784570550
10483455407968
11177039a79645
12798442a3200
13367885c8a50
1419583c0d248
15c898416c13
hex7090301760

483455407968 has 144 divisors (see below), whose sum is σ = 1558507794480. Its totient is φ = 140926252032.

The previous prime is 483455407957. The next prime is 483455407969. The reversal of 483455407968 is 869704554384.

483455407968 is a `hidden beast` number, since 4 + 8 + 3 + 4 + 554 + 0 + 79 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (483455407969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3326971 + ... + 3469242.

It is an arithmetic number, because the mean of its divisors is an integer number (10822970795).

Almost surely, 2483455407968 is an apocalyptic number.

483455407968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

483455407968 is an abundant number, since it is smaller than the sum of its proper divisors (1075052386512).

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

483455407968 is a wasteful number, since it uses less digits than its factorization.

483455407968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6796261 (or 6796250 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 63.

The spelling of 483455407968 in words is "four hundred eighty-three billion, four hundred fifty-five million, four hundred seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 19 24 26 32 36 38 39 48 52 57 72 76 78 96 104 114 117 144 152 156 171 208 228 234 247 288 304 312 342 416 456 468 494 608 624 684 741 912 936 988 1248 1368 1482 1824 1872 1976 2223 2736 2964 3744 3952 4446 5472 5928 7904 8892 11856 17784 23712 35568 71136 6796213 13592426 20388639 27184852 40777278 54369704 61165917 81554556 88350769 108739408 122331834 129128047 163109112 176701538 217478816 244663668 258256094 265052307 326218224 353403076 387384141 489327336 516512188 530104614 652436448 706806152 774768282 795156921 978654672 1033024376 1060209228 1162152423 1413612304 1549536564 1590313842 1678664611 1957309344 2066048752 2120418456 2324304846 2827224608 3099073128 3180627684 3357329222 4132097504 4240836912 4648609692 5035993833 6198146256 6361255368 6714658444 8481673824 9297219384 10071987666 12396292512 12722510736 13429316888 15107981499 18594438768 20143975332 25445021472 26858633776 30215962998 37188877536 40287950664 53717267552 60431925996 80575901328 120863851992 161151802656 241727703984 483455407968