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10114332650064 = 2432792215740127
BaseRepresentation
bin1001001100101110110100…
…1101000110101001010000
31022210220212020021122202100
42103023231031012221100
52311203123124300224
633302243230320400
72062510410004506
oct223135515065120
938726766248670
1010114332650064
11324a512112265
121174285659100
13584a15166b96
1426d7718d8676
1512816c5bdac9
hex932ed346a50

10114332650064 has 120 divisors (see below), whose sum is σ = 28666396661760. Its totient is φ = 3328534520064.

The previous prime is 10114332650033. The next prime is 10114332650083. The reversal of 10114332650064 is 46005623341101.

10114332650064 is a `hidden beast` number, since 1 + 0 + 1 + 143 + 3 + 2 + 6 + 500 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 252037969 + ... + 252078095.

It is an arithmetic number, because the mean of its divisors is an integer number (238886638848).

Almost surely, 210114332650064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10114332650064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14333198330880).

10114332650064 is an abundant number, since it is smaller than the sum of its proper divisors (18552064011696).

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

10114332650064 is a wasteful number, since it uses less digits than its factorization.

10114332650064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62377 (or 62368 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 10114332650064 its reverse (46005623341101), we get a palindrome (56119955991165).

The spelling of 10114332650064 in words is "ten trillion, one hundred fourteen billion, three hundred thirty-two million, six hundred fifty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 79 144 158 237 316 474 632 711 948 1264 1422 1896 2844 3792 5688 11376 22157 40127 44314 66471 80254 88628 120381 132942 160508 177256 199413 240762 265884 321016 354512 361143 398826 481524 531768 642032 722286 797652 963048 1063536 1444572 1595304 1750403 1926096 2889144 3170033 3190608 3500806 5251209 5778288 6340066 7001612 9510099 10502418 12680132 14003224 15753627 19020198 21004836 25360264 28006448 28530297 31507254 38040396 42009672 50720528 57060594 63014508 76080792 84019344 114121188 126029016 152161584 228242376 252058032 456484752 889093939 1778187878 2667281817 3556375756 5334563634 7112751512 8001845451 10669127268 14225503024 16003690902 21338254536 32007381804 42676509072 64014763608 70238421181 128029527216 140476842362 210715263543 280953684724 421430527086 561907369448 632145790629 842861054172 1123814738896 1264291581258 1685722108344 2528583162516 3371444216688 5057166325032 10114332650064