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20555734144 = 2711174991721
BaseRepresentation
bin10011001001001101…
…111001110010000000
31222001120020111011211
4103021031321302000
5314044231443034
613235420415504
71325250600031
oct231115716200
958046214154
1020555734144
1187991a3340
123b980a7594
131c278750ca
14dd0028a88
15804942d64
hex4c9379c80

20555734144 has 128 divisors (see below), whose sum is σ = 47423880000. Its totient is φ = 8771174400.

The previous prime is 20555734109. The next prime is 20555734159. The reversal of 20555734144 is 44143755502.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 20555734097 and 20555734106.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11943204 + ... + 11944924.

Almost surely, 220555734144 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 20555734144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23711940000).

20555734144 is an abundant number, since it is smaller than the sum of its proper divisors (26868145856).

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

20555734144 is a wasteful number, since it uses less digits than its factorization.

20555734144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2262 (or 2250 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 40.

The spelling of 20555734144 in words is "twenty billion, five hundred fifty-five million, seven hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 128 136 176 187 272 352 374 499 544 704 748 998 1088 1408 1496 1721 1996 2176 2992 3442 3992 5489 5984 6884 7984 8483 10978 11968 13768 15968 16966 18931 21956 23936 27536 29257 31936 33932 37862 43912 55072 58514 63872 67864 75724 87824 93313 110144 117028 135728 151448 175648 186626 220288 234056 271456 302896 321827 351296 373252 468112 542912 605792 643654 702592 746504 858779 936224 1085824 1211584 1287308 1493008 1717558 1872448 2423168 2574616 2986016 3435116 3744896 5149232 5972032 6870232 9446569 10298464 11944064 13740464 14599243 18893138 20596928 27480928 29198486 37786276 41193856 54961856 58396972 75572552 109923712 116793944 151145104 160591673 233587888 302290208 321183346 467175776 604580416 642366692 934351552 1209160832 1284733384 1868703104 2569466768 5138933536 10277867072 20555734144