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10149344648742 = 23131071216072927
BaseRepresentation
bin1001001110110001010000…
…0101010001111000100110
31022221021020021112110210010
42103230110011101320212
52312241324212224432
633330313343111050
72065160136043425
oct223542405217046
938837207473703
1010149344648742
113263349509062
12117b016ba2486
135881049cc070
142713338492bc
1512901b21e3cc
hex93b14151e26

10149344648742 has 32 divisors (see below), whose sum is σ = 22064427205632. Its totient is φ = 3093689523744.

The previous prime is 10149344648741. The next prime is 10149344648791. The reversal of 10149344648742 is 24784644394101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10149344648741) 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 15 ways as a sum of consecutive naturals, for example, 608028118 + ... + 608044809.

It is an arithmetic number, because the mean of its divisors is an integer number (689513350176).

Almost surely, 210149344648742 is an apocalyptic number.

10149344648742 is an abundant number, since it is smaller than the sum of its proper divisors (11915082556890).

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

10149344648742 is a wasteful number, since it uses less digits than its factorization.

10149344648742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1216073052.

The product of its (nonzero) digits is 18579456, while the sum is 57.

The spelling of 10149344648742 in words is "ten trillion, one hundred forty-nine billion, three hundred forty-four million, six hundred forty-eight thousand, seven hundred forty-two".

Divisors: 1 2 3 6 13 26 39 78 107 214 321 642 1391 2782 4173 8346 1216072927 2432145854 3648218781 7296437562 15808948051 31617896102 47426844153 94853688306 130119803189 260239606378 390359409567 780718819134 1691557441457 3383114882914 5074672324371 10149344648742