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20438902880 = 2551116769539
BaseRepresentation
bin10011000010010000…
…001110100001100000
31221202102101211210222
4103002100032201200
5313324324343010
613220044342212
71322331544064
oct230220164140
957672354728
1020438902880
118739256280
123b64b44968
131c095ba596
14dbc6d5aa4
157e9566355
hex4c240e860

20438902880 has 96 divisors (see below), whose sum is σ = 52992817920. Its totient is φ = 7387717120.

The previous prime is 20438902877. The next prime is 20438902901. The reversal of 20438902880 is 8820983402.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 259151 + ... + 328689.

It is an arithmetic number, because the mean of its divisors is an integer number (552008520).

Almost surely, 220438902880 is an apocalyptic number.

20438902880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20438902880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26496408960).

20438902880 is an abundant number, since it is smaller than the sum of its proper divisors (32553915040).

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

20438902880 is a wasteful number, since it uses less digits than its factorization.

20438902880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69732 (or 69724 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 44.

The spelling of 20438902880 in words is "twenty billion, four hundred thirty-eight million, nine hundred two thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 167 176 220 334 352 440 668 835 880 1336 1670 1760 1837 2672 3340 3674 5344 6680 7348 9185 13360 14696 18370 26720 29392 36740 58784 69539 73480 139078 146960 278156 293920 347695 556312 695390 764929 1112624 1390780 1529858 2225248 2781560 3059716 3824645 5563120 6119432 7649290 11126240 11613013 12238864 15298580 23226026 24477728 30597160 46452052 58065065 61194320 92904104 116130130 122388640 127743143 185808208 232260260 255486286 371616416 464520520 510972572 638715715 929041040 1021945144 1277431430 1858082080 2043890288 2554862860 4087780576 5109725720 10219451440 20438902880