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20919076272 = 24323112736899
BaseRepresentation
bin10011011110110111…
…111100010110110000
31222222212221011212200
4103132313330112300
5320320240420042
613335440223200
71340252133363
oct233667742660
958885834780
1020919076272
118965300696
12407990ab00
131c84c20153
1410263aa0da
158267b4c4c
hex4dedfc5b0

20919076272 has 120 divisors (see below), whose sum is σ = 60910387200. Its totient is φ = 6694773120.

The previous prime is 20919076261. The next prime is 20919076313. The reversal of 20919076272 is 27267091902.

20919076272 is a `hidden beast` number, since 2 + 0 + 9 + 19 + 0 + 7 + 627 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 548479 + ... + 585377.

It is an arithmetic number, because the mean of its divisors is an integer number (507586560).

Almost surely, 220919076272 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 20919076272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30455193600).

20919076272 is an abundant number, since it is smaller than the sum of its proper divisors (39991310928).

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

20919076272 is a wasteful number, since it uses less digits than its factorization.

20919076272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37071 (or 37062 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 20919076272 in words is "twenty billion, nine hundred nineteen million, seventy-six thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 127 144 186 248 254 279 372 381 496 508 558 744 762 1016 1116 1143 1488 1524 2032 2232 2286 3048 3937 4464 4572 6096 7874 9144 11811 15748 18288 23622 31496 35433 36899 47244 62992 70866 73798 94488 110697 141732 147596 188976 221394 283464 295192 332091 442788 566928 590384 664182 885576 1143869 1328364 1771152 2287738 2656728 3431607 4575476 4686173 5313456 6863214 9150952 9372346 10294821 13726428 14058519 18301904 18744692 20589642 27452856 28117038 37489384 41179284 42175557 54905712 56234076 74978768 82358568 84351114 112468152 145271363 164717136 168702228 224936304 290542726 337404456 435814089 581085452 674808912 871628178 1162170904 1307442267 1743256356 2324341808 2614884534 3486512712 5229769068 6973025424 10459538136 20919076272