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10621251424 = 257107503881
BaseRepresentation
bin10011110010001001…
…10110111101100000
31000102012202110212101
421321010312331200
5133223020021144
64513534140144
7524130101410
oct117104667540
930365673771
1010621251424
114560468443
122085051654
131003616c74
1472a87c640
154226c76d4
hex279136f60

10621251424 has 96 divisors (see below), whose sum is σ = 24196548096. Its totient is φ = 4495349760.

The previous prime is 10621251391. The next prime is 10621251467. The reversal of 10621251424 is 42415212601.

10621251424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106212514242 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 10621251392 and 10621251401.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 12055464 + ... + 12056344.

It is an arithmetic number, because the mean of its divisors is an integer number (252047376).

Almost surely, 210621251424 is an apocalyptic number.

10621251424 is a gapful number since it is divisible by the number (14) 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 10621251424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12098274048).

10621251424 is an abundant number, since it is smaller than the sum of its proper divisors (13575296672).

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

10621251424 is a wasteful number, since it uses less digits than its factorization.

10621251424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1508 (or 1500 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The spelling of 10621251424 in words is "ten billion, six hundred twenty-one million, two hundred fifty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 107 112 214 224 428 503 749 856 881 1006 1498 1712 1762 2012 2996 3424 3521 3524 4024 5992 6167 7042 7048 8048 11984 12334 14084 14096 16096 23968 24668 28168 28192 49336 53821 56336 94267 98672 107642 112672 188534 197344 215284 376747 377068 430568 443143 659869 753494 754136 861136 886286 1319738 1506988 1508272 1722272 1772572 2639476 3013976 3016544 3102001 3545144 5278952 6027952 6204002 7090288 10557904 12055904 12408004 14180576 21115808 24816008 47416301 49632016 94832602 99264032 189665204 331914107 379330408 663828214 758660816 1327656428 1517321632 2655312856 5310625712 10621251424