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643405510244 = 227891514873511
BaseRepresentation
bin10010101110011011111…
…01001111011001100100
32021111202000222102210202
421113031331033121210
541020143302311434
61211324301010032
764325121413060
oct11271575173144
92244660872722
10643405510244
11228959700912
12a4843253918
1348899414993
14231d8c54aa0
1511b0a7e9a7e
hex95cdf4f664

643405510244 has 96 divisors (see below), whose sum is σ = 1312950804480. Its totient is φ = 270208224000.

The previous prime is 643405510207. The next prime is 643405510331. The reversal of 643405510244 is 442015504346.

It is a super-2 number, since 2×6434055102442 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 643405510198 and 643405510207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 183252449 + ... + 183255959.

It is an arithmetic number, because the mean of its divisors is an integer number (13676570880).

Almost surely, 2643405510244 is an apocalyptic number.

It is an amenable number.

643405510244 is an abundant number, since it is smaller than the sum of its proper divisors (669545294236).

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

643405510244 is a wasteful number, since it uses less digits than its factorization.

643405510244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4249 (or 4247 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 38.

The spelling of 643405510244 in words is "six hundred forty-three billion, four hundred five million, five hundred ten thousand, two hundred forty-four".

Divisors: 1 2 4 7 14 28 89 151 178 302 356 487 604 623 974 1057 1246 1948 2114 2492 3409 3511 4228 6818 7022 13439 13636 14044 24577 26878 43343 49154 53756 73537 86686 94073 98308 147074 173372 188146 294148 303401 312479 376292 514759 530161 606802 624958 1029518 1060322 1213604 1249916 1709857 2059036 2120644 2187353 3419714 3711127 4374706 6544793 6839428 7422254 8749412 11968999 13089586 14844508 23937998 26179172 45813551 47184329 47875996 91627102 94368658 152177273 183254204 188737316 258188407 304354546 330290303 516376814 608709092 660580606 1032753628 1065240911 1321161212 1807318849 2130481822 3614637698 4260963644 7229275396 22978768223 45957536446 91915072892 160851377561 321702755122 643405510244