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481630435268608 = 2111797142614379
BaseRepresentation
bin110110110000010100101001…
…1000000011101100000000000
32100011022102100010201110101201
41231200221103000131200000
51001112013112412043413
64424201544545510544
7203306436113141413
oct15540512300354000
92304272303643351
10481630435268608
1112a50a3586a1a7a
1246027256342454
131789872a90a782
1486d1074a79b7a
153aa34a60a39dd
hex1b60a5301d800

481630435268608 has 96 divisors (see below), whose sum is σ = 1030186383080400. Its totient is φ = 224313021038592.

The previous prime is 481630435268539. The next prime is 481630435268621. The reversal of 481630435268608 is 806862534036184.

It is a super-2 number, since 2×4816304352686082 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a self number, because there is not a number n which added to its sum of digits gives 481630435268608.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67930038 + ... + 74684341.

Almost surely, 2481630435268608 is an apocalyptic number.

It is an amenable number.

481630435268608 is an abundant number, since it is smaller than the sum of its proper divisors (548555947811792).

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

481630435268608 is a wasteful number, since it uses less digits than its factorization.

481630435268608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142614515 (or 142614495 counting only the distinct ones).

The product of its (nonzero) digits is 159252480, while the sum is 64.

The spelling of 481630435268608 in words is "four hundred eighty-one trillion, six hundred thirty billion, four hundred thirty-five million, two hundred sixty-eight thousand, six hundred eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 97 128 136 194 256 272 388 512 544 776 1024 1088 1552 1649 2048 2176 3104 3298 4352 6208 6596 8704 12416 13192 17408 24832 26384 34816 49664 52768 99328 105536 198656 211072 422144 844288 1688576 3377152 142614379 285228758 570457516 1140915032 2281830064 2424444443 4563660128 4848888886 9127320256 9697777772 13833594763 18254640512 19395555544 27667189526 36509281024 38791111088 55334379052 73018562048 77582222176 110668758104 146037124096 155164444352 221337516208 235171110971 292074248192 310328888704 442675032416 470342221942 620657777408 885350064832 940684443884 1241315554816 1770700129664 1881368887768 2482631109632 3541400259328 3762737775536 4965262219264 7082800518656 7525475551072 14165601037312 15050951102144 28331202074624 30101902204288 60203804408576 120407608817152 240815217634304 481630435268608