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51100412454 = 232713105129683
BaseRepresentation
bin101111100101110100…
…100110101000100110
311212220021102220201200
4233211310212220212
51314123201144304
635250351103330
73456213224220
oct574564465046
9155807386650
1051100412454
111a74293a233
129aa1511b46
134a84a36360
14268a939410
1514e12ace39
hexbe5d26a26

51100412454 has 96 divisors (see below), whose sum is σ = 136402017024. Its totient is φ = 13463755200.

The previous prime is 51100412437. The next prime is 51100412459. The reversal of 51100412454 is 45421400115.

It is a super-2 number, since 2×511004124542 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51100412459) 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 47 ways as a sum of consecutive naturals, for example, 1706697 + ... + 1736379.

It is an arithmetic number, because the mean of its divisors is an integer number (1420854344).

Almost surely, 251100412454 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51100412454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68201008512).

51100412454 is an abundant number, since it is smaller than the sum of its proper divisors (85301604570).

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

51100412454 is a wasteful number, since it uses less digits than its factorization.

51100412454 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30762 (or 30759 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 51100412454 its reverse (45421400115), we get a palindrome (96521812569).

The spelling of 51100412454 in words is "fifty-one billion, one hundred million, four hundred twelve thousand, four hundred fifty-four".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 182 234 273 546 819 1051 1638 2102 3153 6306 7357 9459 13663 14714 18918 22071 27326 29683 40989 44142 59366 66213 81978 89049 95641 122967 132426 178098 191282 207781 245934 267147 286923 385879 415562 534294 573846 623343 771758 860769 1157637 1246686 1721538 1870029 2315274 2701153 3472911 3740058 5402306 6945822 8103459 16206918 24310377 31196833 48620754 62393666 93590499 187180998 218377831 280771497 405558829 436755662 561542994 655133493 811117658 1216676487 1310266986 1965400479 2433352974 2838911803 3650029461 3930800958 5677823606 7300058922 8516735409 17033470818 25550206227 51100412454