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20015981172 = 22331123149409
BaseRepresentation
bin10010101001000010…
…111010001001110100
31220122221121012022000
4102221002322021310
5311443042344142
613110055535300
71306005014145
oct225102721164
956587535260
1020015981172
118541554a00
123a6738a530
131b6cab1a55
14d7c485acc
157c237614c
hex4a90ba274

20015981172 has 144 divisors (see below), whose sum is σ = 58880908800. Its totient is φ = 5869670400.

The previous prime is 20015981159. The next prime is 20015981189. The reversal of 20015981172 is 27118951002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 380404 + ... + 429812.

It is an arithmetic number, because the mean of its divisors is an integer number (408895200).

Almost surely, 220015981172 is an apocalyptic number.

20015981172 is a gapful number since it is divisible by the number (22) 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 20015981172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29440454400).

20015981172 is an abundant number, since it is smaller than the sum of its proper divisors (38864927628).

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

20015981172 is a wasteful number, since it uses less digits than its factorization.

20015981172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49475 (or 49456 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 36.

The spelling of 20015981172 in words is "twenty billion, fifteen million, nine hundred eighty-one thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 31 33 36 44 54 62 66 93 99 108 121 124 132 186 198 242 279 297 341 363 372 396 484 558 594 682 726 837 1023 1089 1116 1188 1364 1452 1674 2046 2178 3069 3267 3348 3751 4092 4356 6138 6534 7502 9207 11253 12276 13068 15004 18414 22506 33759 36828 45012 49409 67518 98818 101277 135036 148227 197636 202554 296454 405108 444681 543499 592908 889362 1086998 1334043 1531679 1630497 1778724 2173996 2668086 3063358 3260994 4595037 4891491 5336172 5978489 6126716 6521988 9190074 9782982 11956978 13785111 14674473 16848469 17935467 18380148 19565964 23913956 27570222 29348946 33696938 35870934 41355333 50545407 53806401 55140444 58697892 67393876 71741868 82710666 101090814 107612802 151636221 161419203 165421332 185333159 202181628 215225604 303272442 322838406 370666318 454908663 555999477 606544884 645676812 741332636 909817326 1111998954 1667998431 1819634652 2223997908 3335996862 5003995293 6671993724 10007990586 20015981172