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1601685142929 = 32157226872
BaseRepresentation
bin10111010011101011110…
…111111011110110010001
312200010020012011121111100
4113103223313323312101
5202220222344033204
63223445355135013
7223501152040134
oct27235367736621
95603205147440
101601685142929
115682a85642a3
1221a501144469
13b80660a0031
145774442621b
152b9e4500a39
hex174ebdfbd91

1601685142929 has 27 divisors (see below), whose sum is σ = 2329241878587. Its totient is φ = 1060594024464.

The previous prime is 1601685142919. The next prime is 1601685142957. The reversal of 1601685142929 is 9292415861061.

The square root of 1601685142929 is 1265577.

It is a perfect power (a square), and thus also a powerful number.

1601685142929 is a `hidden beast` number, since 1 + 6 + 0 + 168 + 51 + 429 + 2 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 469478484225 + 1132206658704 = 685185^2 + 1064052^2 .

It is a de Polignac number, because none of the positive numbers 2k-1601685142929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1601685142919) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 596085424 + ... + 596088110.

Almost surely, 21601685142929 is an apocalyptic number.

1601685142929 is the 1265577-th square number.

1601685142929 is the 632789-th centered octagonal number.

It is an amenable number.

1601685142929 is a deficient number, since it is larger than the sum of its proper divisors (727556735658).

1601685142929 is an frugal number, since it uses more digits than its factorization.

1601685142929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5694 (or 2847 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 1601685142929 in words is "one trillion, six hundred one billion, six hundred eighty-five million, one hundred forty-two thousand, nine hundred twenty-nine".

Divisors: 1 3 9 157 471 1413 2687 8061 24183 24649 73947 221841 421859 1265577 3796731 7219969 21659907 64979721 66231863 198695589 596086767 1133535133 3400605399 10201816197 177965015881 533895047643 1601685142929