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20751554916 = 22345321512
BaseRepresentation
bin10011010100111000…
…111001100101100100
31222120012201012210000
4103110320321211210
5314444344224131
613311053501300
71333146210051
oct232470714544
958505635700
1020751554916
118889791394
1240317a1830
131c592c80a1
14100c040028
15816c23ce6
hex4d4e39964

20751554916 has 135 divisors (see below), whose sum is σ = 55660129833. Its totient is φ = 6741727200.

The previous prime is 20751554909. The next prime is 20751554933. The reversal of 20751554916 is 61945515702.

It is a happy number.

The square root of 20751554916 is 144054.

It is a perfect power (a square), and thus also a powerful number.

20751554916 is a `hidden beast` number, since 2 + 0 + 7 + 5 + 1 + 554 + 91 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 14959736100 + 5791818816 = 122310^2 + 76104^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 137427441 + ... + 137427591.

Almost surely, 220751554916 is an apocalyptic number.

20751554916 is the 144054-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20751554916

20751554916 is an abundant number, since it is smaller than the sum of its proper divisors (34908574917).

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

20751554916 is an equidigital number, since it uses as much as digits as its factorization.

20751554916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The spelling of 20751554916 in words is "twenty billion, seven hundred fifty-one million, five hundred fifty-four thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 53 54 81 106 108 151 159 162 212 302 318 324 453 477 604 636 906 954 1359 1431 1812 1908 2718 2809 2862 4077 4293 5436 5618 5724 8003 8154 8427 8586 11236 12231 16006 16308 16854 17172 22801 24009 24462 25281 32012 33708 45602 48018 48924 50562 68403 72027 75843 91204 96036 101124 136806 144054 151686 205209 216081 227529 273612 288108 303372 410418 424159 432162 455058 615627 648243 820836 848318 864324 910116 1208453 1231254 1272477 1296486 1696636 1846881 2416906 2462508 2544954 2592972 3625359 3693762 3817431 4833812 5089908 7250718 7387524 7634862 10876077 11452293 14501436 15269724 21752154 22904586 32628231 34356879 43504308 45809172 64048009 65256462 68713758 97884693 128096018 130512924 137427516 192144027 195769386 256192036 384288054 391538772 576432081 768576108 1152864162 1729296243 2305728324 3458592486 5187888729 6917184972 10375777458 20751554916