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19648006464 = 263233439199
BaseRepresentation
bin10010010011000111…
…001100100101000000
31212201022012010220010
4102103013030211000
5310214342201324
613005352544520
71263616204452
oct222307144500
955638163803
1019648006464
118372873079
1239840b2140
131b117a4238
14d4565a2d2
1579eddb829
hex4931cc940

19648006464 has 56 divisors (see below), whose sum is σ = 52208582400. Its totient is φ = 6521211904.

The previous prime is 19648006439. The next prime is 19648006489. The reversal of 19648006464 is 46460084691.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (19648006439) and next prime (19648006489).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 174864 + ... + 264335.

Almost surely, 219648006464 is an apocalyptic number.

It is an amenable number.

19648006464 is an abundant number, since it is smaller than the sum of its proper divisors (32560575936).

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

19648006464 is a wasteful number, since it uses less digits than its factorization.

19648006464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439447 (or 439437 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The spelling of 19648006464 in words is "nineteen billion, six hundred forty-eight million, six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 233 466 699 932 1398 1864 2796 3728 5592 7456 11184 14912 22368 44736 439199 878398 1317597 1756796 2635194 3513592 5270388 7027184 10540776 14054368 21081552 28108736 42163104 84326208 102333367 204666734 307000101 409333468 614000202 818666936 1228000404 1637333872 2456000808 3274667744 4912001616 6549335488 9824003232 19648006464