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10147689728649 = 3211217415352301
BaseRepresentation
bin1001001110101011000101…
…1100010000101010001001
31022221002221221111211012100
42103222301130100222021
52312224432032304044
633325441224304013
72065101132334464
oct223526134205211
938832857454170
1010147689728649
11326267a336100
12117a834912009
13587bccba75c5
14271217b3a2db
15128e70cc2869
hex93ab1710a89

10147689728649 has 36 divisors (see below), whose sum is σ = 16120694735236. Its totient is φ = 6146581320000.

The previous prime is 10147689728633. The next prime is 10147689728651. The reversal of 10147689728649 is 94682798674101.

10147689728649 is a `hidden beast` number, since 1 + 0 + 1 + 476 + 8 + 9 + 72 + 86 + 4 + 9 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 112302063225 + 10035387665424 = 335115^2 + 3167868^2 .

It is not a de Polignac number, because 10147689728649 - 24 = 10147689728633 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10147689728699) 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 35 ways as a sum of consecutive naturals, for example, 780202 + ... + 4572099.

Almost surely, 210147689728649 is an apocalyptic number.

It is an amenable number.

10147689728649 is a deficient number, since it is larger than the sum of its proper divisors (5973005006587).

10147689728649 is a wasteful number, since it uses less digits than its factorization.

10147689728649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5354070 (or 5354056 counting only the distinct ones).

The product of its (nonzero) digits is 292626432, while the sum is 72.

The spelling of 10147689728649 in words is "ten trillion, one hundred forty-seven billion, six hundred eighty-nine million, seven hundred twenty-eight thousand, six hundred forty-nine".

Divisors: 1 3 9 11 33 99 121 363 1089 1741 5223 15669 19151 57453 172359 210661 631983 1895949 5352301 16056903 48170709 58875311 176625933 529877799 647628421 1942885263 5828655789 9318356041 27955068123 83865204369 102501916451 307505749353 922517248059 1127521080961 3382563242883 10147689728649