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19825964944 = 24171075571223
BaseRepresentation
bin10010011101101110…
…000011011110010000
31220011201001101000221
4102131232003132100
5311100421334234
613035151122424
71301206631032
oct223556033620
956151041027
1019825964944
1184542709a5
123a13813414
131b3c611b06
14d61141c52
157b083eeb4
hex49db83790

19825964944 has 80 divisors (see below), whose sum is σ = 41159829888. Its totient is φ = 9218533376.

The previous prime is 19825964923. The next prime is 19825964957. The reversal of 19825964944 is 44946952891.

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 15 ways as a sum of consecutive naturals, for example, 16210317 + ... + 16211539.

Almost surely, 219825964944 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 19825964944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20579914944).

19825964944 is an abundant number, since it is smaller than the sum of its proper divisors (21333864944).

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

19825964944 is a wasteful number, since it uses less digits than its factorization.

19825964944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1912 (or 1906 counting only the distinct ones).

The product of its digits is 22394880, while the sum is 61.

The spelling of 19825964944 in words is "nineteen billion, eight hundred twenty-five million, nine hundred sixty-four thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 17 34 68 107 136 214 272 428 557 856 1114 1223 1712 1819 2228 2446 3638 4456 4892 7276 8912 9469 9784 14552 18938 19568 20791 29104 37876 41582 59599 75752 83164 119198 130861 151504 166328 238396 261722 332656 476792 523444 681211 953584 1013183 1046888 1362422 2026366 2093776 2224637 2724844 4052732 4449274 5449688 8105464 8898548 10899376 11580587 16210928 17797096 23161174 35594192 46322348 72889577 92644696 145779154 185289392 291558308 583116616 1166233232 1239122809 2478245618 4956491236 9912982472 19825964944