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481964669028 = 2232173161416459
BaseRepresentation
bin1110000001101110101…
…01010011100001100100
31201002000221112222020100
413000313111103201210
530344030423402103
61005224515304100
746551351043443
oct7006725234144
91632027488210
10481964669028
11176444544397
12794a8bab030
13365ab7c9bbb
1419481c3ad5a
15c80c5eb5a3
hex7037553864

481964669028 has 144 divisors (see below), whose sum is σ = 1353408376320. Its totient is φ = 143927884800.

The previous prime is 481964668981. The next prime is 481964669033. The reversal of 481964669028 is 820966469184.

481964669028 is a `hidden beast` number, since 4 + 81 + 9 + 6 + 466 + 90 + 2 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 949063 + ... + 1365521.

It is an arithmetic number, because the mean of its divisors is an integer number (9398669280).

Almost surely, 2481964669028 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 481964669028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676704188160).

481964669028 is an abundant number, since it is smaller than the sum of its proper divisors (871443707292).

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

481964669028 is a wasteful number, since it uses less digits than its factorization.

481964669028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416578 (or 416573 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The spelling of 481964669028 in words is "four hundred eighty-one billion, nine hundred sixty-four million, six hundred sixty-nine thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 31 34 36 51 61 62 68 93 102 122 124 153 183 186 204 244 279 306 366 372 527 549 558 612 732 1037 1054 1098 1116 1581 1891 2074 2108 2196 3111 3162 3782 4148 4743 5673 6222 6324 7564 9333 9486 11346 12444 17019 18666 18972 22692 32147 34038 37332 64294 68076 96441 128588 192882 289323 385764 416459 578646 832918 1157292 1249377 1665836 2498754 3748131 4997508 7079803 7496262 12910229 14159606 14992524 21239409 25403999 25820458 28319212 38730687 42478818 50807998 51640916 63718227 76211997 77461374 84957636 101615996 116192061 127436454 152423994 154922748 219473893 228635991 232384122 254872908 304847988 431867983 438947786 457271982 464768244 658421679 787523969 863735966 877895572 914543964 1295603949 1316843358 1575047938 1727471932 1975265037 2362571907 2591207898 2633686716 3150095876 3886811847 3950530074 4725143814 5182415796 7087715721 7773623694 7901060148 9450287628 13387907473 14175431442 15547247388 26775814946 28350862884 40163722419 53551629892 80327444838 120491167257 160654889676 240982334514 481964669028