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20954731776 = 2831112719531
BaseRepresentation
bin10011100000111111…
…111101010100000000
32000002101000200000220
4103200333331110000
5320403402404101
613343152343040
71341164165316
oct234077752400
960071020026
1020954731776
118983444150
124089844a80
131c8c425394
14102b00c0b6
158299a9636
hex4e0ffd500

20954731776 has 144 divisors (see below), whose sum is σ = 61322354688. Its totient is φ = 6299596800.

The previous prime is 20954731771. The next prime is 20954731807. The reversal of 20954731776 is 67713745902.

It is a happy number.

It is a super-2 number, since 2×209547317762 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20954731771) by changing a digit.

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, 1063131 + ... + 1082661.

Almost surely, 220954731776 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 20954731776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30661177344).

20954731776 is an abundant number, since it is smaller than the sum of its proper divisors (40367622912).

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

20954731776 is a wasteful number, since it uses less digits than its factorization.

20954731776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19688 (or 19674 counting only the distinct ones).

The product of its (nonzero) digits is 2222640, while the sum is 51.

The spelling of 20954731776 in words is "twenty billion, nine hundred fifty-four million, seven hundred thirty-one thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 127 128 132 176 192 254 256 264 352 381 384 508 528 704 762 768 1016 1056 1397 1408 1524 2032 2112 2794 2816 3048 4064 4191 4224 5588 6096 8128 8382 8448 11176 12192 16256 16764 19531 22352 24384 32512 33528 39062 44704 48768 58593 67056 78124 89408 97536 117186 134112 156248 178816 214841 234372 268224 312496 357632 429682 468744 536448 624992 644523 859364 937488 1072896 1249984 1289046 1718728 1874976 2480437 2499968 2578092 3437456 3749952 4960874 4999936 5156184 6874912 7441311 7499904 9921748 10312368 13749824 14882622 14999808 19843496 20624736 27284807 27499648 29765244 39686992 41249472 54569614 54999296 59530488 79373984 81854421 82498944 109139228 119060976 158747968 163708842 164997888 218278456 238121952 317495936 327417684 436556912 476243904 634991872 654835368 873113824 952487808 1309670736 1746227648 1904975616 2619341472 3492455296 5238682944 6984910592 10477365888 20954731776