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10411252152 = 2337269922961
BaseRepresentation
bin10011011001000111…
…10001100110111000
3222212120121102000120
421230203301212320
5132310240032102
64441033133240
7516000116550
oct115443614670
928776542016
1010411252152
114462975924
12202685a220
13c9bc6b542
1470aa16160
1540e0456bc
hex26c8f19b8

10411252152 has 64 divisors (see below), whose sum is σ = 29758752000. Its totient is φ = 2973411840.

The previous prime is 10411252147. The next prime is 10411252177. The reversal of 10411252152 is 25125211401.

It is a happy number.

10411252152 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 2×104112521522 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 441952 + ... + 464912.

It is an arithmetic number, because the mean of its divisors is an integer number (464980500).

Almost surely, 210411252152 is an apocalyptic number.

10411252152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10411252152 is an abundant number, since it is smaller than the sum of its proper divisors (19347499848).

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

10411252152 is a wasteful number, since it uses less digits than its factorization.

10411252152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25676 (or 25672 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 24.

Adding to 10411252152 its reverse (25125211401), we get a palindrome (35536463553).

The spelling of 10411252152 in words is "ten billion, four hundred eleven million, two hundred fifty-two thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 2699 5398 8097 10796 16194 18893 21592 22961 32388 37786 45922 56679 64776 68883 75572 91844 113358 137766 151144 160727 183688 226716 275532 321454 453432 482181 551064 642908 964362 1285816 1928724 3857448 61971739 123943478 185915217 247886956 371830434 433802173 495773912 743660868 867604346 1301406519 1487321736 1735208692 2602813038 3470417384 5205626076 10411252152