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20035124408 = 23132191375693
BaseRepresentation
bin10010101010001011…
…111011110010111000
31220201021121202212202
4102222023323302320
5312012442440113
613112022125332
71306326514265
oct225213736270
956637552782
1020035124408
11855133a562
123a71880848
131b73a55200
14d80c2a26c
157c3da8258
hex4aa2fbcb8

20035124408 has 96 divisors (see below), whose sum is σ = 43138882800. Its totient is φ = 8694825984.

The previous prime is 20035124401. The next prime is 20035124419. The reversal of 20035124408 is 80442153002.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20035124401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3516410 + ... + 3522102.

Almost surely, 220035124408 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 20035124408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21569441400).

20035124408 is an abundant number, since it is smaller than the sum of its proper divisors (23103758392).

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

20035124408 is a wasteful number, since it uses less digits than its factorization.

20035124408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5881 (or 5864 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The spelling of 20035124408 in words is "twenty billion, thirty-five million, one hundred twenty-four thousand, four hundred eight".

Divisors: 1 2 4 8 13 19 26 38 52 76 104 137 152 169 247 274 338 494 548 676 988 1096 1352 1781 1976 2603 3211 3562 5206 5693 6422 7124 10412 11386 12844 14248 20824 22772 23153 25688 33839 45544 46306 67678 74009 92612 108167 135356 148018 185224 216334 270712 296036 432668 439907 592072 779941 865336 879814 962117 1406171 1559882 1759628 1924234 2812342 3119764 3519256 3848468 5624684 6239528 7696936 10139233 11249368 14818879 18280223 20278466 29637758 36560446 40556932 59275516 73120892 81113864 118551032 131810029 146241784 192645427 263620058 385290854 527240116 770581708 1054480232 1541163416 2504390551 5008781102 10017562204 20035124408