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152745743929 = 4326121492
BaseRepresentation
bin1000111001000001011…
…0110001011000111001
3112121021010001202110011
42032100112301120321
510000310402301204
6154100451221521
714015116254412
oct2162026613071
9477233052404
10152745743929
1159862a99209
122572a2a78a1
1311533390ccc
1475702d0809
153e8eb9d304
hex23905b1639

152745743929 has 27 divisors (see below), whose sum is σ = 160060405869. Its totient is φ = 145762837920.

The previous prime is 152745743921. The next prime is 152745743933. The reversal of 152745743929 is 929347547251.

The square root of 152745743929 is 390827.

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

It can be written as a sum of positive squares in 4 ways, for example, as 113620903929 + 39124840000 = 337077^2 + 197800^2 .

It is not a de Polignac number, because 152745743929 - 23 = 152745743921 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (152745743921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1025139147 + ... + 1025139295.

Almost surely, 2152745743929 is an apocalyptic number.

152745743929 is the 390827-th square number.

152745743929 is the 195414-th centered octagonal number.

It is an amenable number.

152745743929 is a deficient number, since it is larger than the sum of its proper divisors (7314661940).

152745743929 is an frugal number, since it uses more digits than its factorization.

152745743929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 253 counting only the distinct ones).

The product of its digits is 19051200, while the sum is 58.

The spelling of 152745743929 in words is "one hundred fifty-two billion, seven hundred forty-five million, seven hundred forty-three thousand, nine hundred twenty-nine".

Divisors: 1 43 61 149 1849 2623 3721 6407 9089 22201 112789 160003 275501 390827 554429 954643 1354261 6880129 16805561 23840447 41049649 58233223 82609921 1025139221 2504028589 3552226603 152745743929