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128500023961 = 2924722632
BaseRepresentation
bin111011110101100110…
…0101100001010011001
3110021200101110120022201
41313223030230022121
54101132001231321
6135010533250201
712166231116241
oct1675314541231
9407611416281
10128500023961
114a550a05a11
1220aa2493961
13c16b1c044a
1463101b0b21
153521321291
hex1deb32c299

128500023961 has 27 divisors (see below), whose sum is σ = 136494654751. Its totient is φ = 120967514864.

The previous prime is 128500023947. The next prime is 128500023989. The reversal of 128500023961 is 169320005821.

The square root of 128500023961 is 358469.

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

It can be written as a sum of positive squares in only one way, i.e., 67382295561 + 61117728400 = 259581^2 + 247220^2 .

It is a de Polignac number, because none of the positive numbers 2k-128500023961 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 128500023961.

It is not an unprimeable number, because it can be changed into a prime (128500023931) 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, 488593116 + ... + 488593378.

Almost surely, 2128500023961 is an apocalyptic number.

128500023961 is the 358469-th square number.

128500023961 is the 179235-th centered octagonal number.

It is an amenable number.

128500023961 is a deficient number, since it is larger than the sum of its proper divisors (7994630790).

128500023961 is an frugal number, since it uses more digits than its factorization.

128500023961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

The spelling of 128500023961 in words is "one hundred twenty-eight billion, five hundred million, twenty-three thousand, nine hundred sixty-one".

Divisors: 1 29 47 263 841 1363 2209 7627 12361 39527 64061 69169 221183 358469 580967 1857769 2005901 3250943 10395601 16848043 58171129 94277347 152794321 488593247 2734043063 4431035309 128500023961