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153071070417 = 3229586479197
BaseRepresentation
bin1000111010001110111…
…1110010110011010001
3112122002210020001111100
42032203233302303101
510001442143223132
6154153032135013
714026146426216
oct2164357626321
9478083201440
10153071070417
1159a0a6a0881
12257bb237469
13115858b87a5
1475a15b7b0d
153ead51137c
hex23a3bf2cd1

153071070417 has 12 divisors (see below), whose sum is σ = 228726887220. Its totient is φ = 98528504928.

The previous prime is 153071070401. The next prime is 153071070433. The reversal of 153071070417 is 714070170351.

153071070417 is a `hidden beast` number, since 1 + 530 + 7 + 10 + 70 + 41 + 7 = 666.

It is an interprime number because it is at equal distance from previous prime (153071070401) and next prime (153071070433).

It can be written as a sum of positive squares in 2 ways, for example, as 96164490816 + 56906579601 = 310104^2 + 238551^2 .

It is not a de Polignac number, because 153071070417 - 24 = 153071070401 is a prime.

It is not an unprimeable number, because it can be changed into a prime (153071070437) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 293239338 + ... + 293239859.

It is an arithmetic number, because the mean of its divisors is an integer number (19060573935).

Almost surely, 2153071070417 is an apocalyptic number.

It is an amenable number.

153071070417 is a deficient number, since it is larger than the sum of its proper divisors (75655816803).

153071070417 is a wasteful number, since it uses less digits than its factorization.

153071070417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586479232 (or 586479229 counting only the distinct ones).

The product of its (nonzero) digits is 20580, while the sum is 36.

The spelling of 153071070417 in words is "one hundred fifty-three billion, seventy-one million, seventy thousand, four hundred seventeen".

Divisors: 1 3 9 29 87 261 586479197 1759437591 5278312773 17007896713 51023690139 153071070417