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309202048872 = 233317643130957
BaseRepresentation
bin1000111111111011110…
…00001101011101101000
31002120002211012112201000
410133331320031131220
520031221211030442
6354013452555000
731224213023223
oct4377570153550
91076084175630
10309202048872
1110a14a54a872
124bb13182a60
1323208402942
1410d733105ba
15809a49bd4c
hex47fde0d768

309202048872 has 128 divisors (see below), whose sum is σ = 910839081600. Its totient is φ = 96852962304.

The previous prime is 309202048849. The next prime is 309202048877. The reversal of 309202048872 is 278840202903.

It is not an unprimeable number, because it can be changed into a prime (309202048877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2295618 + ... + 2426574.

It is an arithmetic number, because the mean of its divisors is an integer number (7115930325).

Almost surely, 2309202048872 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 309202048872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455419540800).

309202048872 is an abundant number, since it is smaller than the sum of its proper divisors (601637032728).

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

309202048872 is a wasteful number, since it uses less digits than its factorization.

309202048872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131632 (or 131622 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 309202048872 in words is "three hundred nine billion, two hundred two million, forty-eight thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 108 136 153 204 216 306 408 459 612 643 918 1224 1286 1836 1929 2572 3672 3858 5144 5787 7716 10931 11574 15432 17361 21862 23148 32793 34722 43724 46296 65586 69444 87448 98379 130957 131172 138888 196758 261914 262344 295137 392871 393516 523828 590274 785742 787032 1047656 1178613 1180548 1571484 2226269 2357226 2361096 3142968 3535839 4452538 4714452 6678807 7071678 8905076 9428904 13357614 14143356 17810152 20036421 26715228 28286712 40072842 53430456 60109263 80145684 84205351 120218526 160291368 168410702 240437052 252616053 336821404 480874104 505232106 673642808 757848159 1010464212 1431490967 1515696318 2020928424 2273544477 2862981934 3031392636 4294472901 4547088954 5725963868 6062785272 8588945802 9094177908 11451927736 12883418703 17177891604 18188355816 25766837406 34355783208 38650256109 51533674812 77300512218 103067349624 154601024436 309202048872