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20124269136 = 2432792277793
BaseRepresentation
bin10010101111011111…
…111111101001010000
31220221111100210110100
4102233133333221100
5312203303103021
613124524532400
71311461315406
oct225737775120
956844323410
1020124269136
118597697294
123a976b1100
131b89367a7a
14d8c9d3476
157cbb16626
hex4af7ffa50

20124269136 has 120 divisors (see below), whose sum is σ = 57291511680. Its totient is φ = 6593154048.

The previous prime is 20124269131. The next prime is 20124269147. The reversal of 20124269136 is 63196242102.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 20124269136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20124269131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2578456 + ... + 2586248.

It is an arithmetic number, because the mean of its divisors is an integer number (477429264).

Almost surely, 220124269136 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 20124269136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28645755840).

20124269136 is an abundant number, since it is smaller than the sum of its proper divisors (37167242544).

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

20124269136 is a wasteful number, since it uses less digits than its factorization.

20124269136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8113 (or 8104 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 20124269136 in words is "twenty billion, one hundred twenty-four million, two hundred sixty-nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 79 144 158 227 237 316 454 474 632 681 711 908 948 1264 1362 1422 1816 1896 2043 2724 2844 3632 3792 4086 5448 5688 7793 8172 10896 11376 15586 16344 17933 23379 31172 32688 35866 46758 53799 62344 70137 71732 93516 107598 124688 140274 143464 161397 187032 215196 280548 286928 322794 374064 430392 561096 615647 645588 860784 1122192 1231294 1291176 1769011 1846941 2462588 2582352 3538022 3693882 4925176 5307033 5540823 7076044 7387764 9850352 10614066 11081646 14152088 14775528 15921099 21228132 22163292 28304176 29551056 31842198 42456264 44326584 63684396 84912528 88653168 127368792 139751869 254737584 279503738 419255607 559007476 838511214 1118014952 1257766821 1677022428 2236029904 2515533642 3354044856 5031067284 6708089712 10062134568 20124269136