Search a number
-
+
88728324129 = 3423214392
BaseRepresentation
bin101001010100010011…
…1101100100000100001
322111000121222212210000
41102220213230200201
52423203422333004
6104432231530213
76260525211504
oct1225047544041
9274017885700
1088728324129
11346a190a1a5
1215242b29969
1384a0523553
14441a07113b
1524948d3c39
hex14a89ec821

88728324129 has 45 divisors (see below), whose sum is σ = 138654508993. Its totient is φ = 56541061368.

The previous prime is 88728324109. The next prime is 88728324163. The reversal of 88728324129 is 92142382788.

The square root of 88728324129 is 297873.

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

88728324129 is a `hidden beast` number, since 88 + 72 + 83 + 2 + 412 + 9 = 666.

It is not a de Polignac number, because 88728324129 - 231 = 86580840481 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (88728324109) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 61658992 + ... + 61660430.

Almost surely, 288728324129 is an apocalyptic number.

88728324129 is the 297873-rd square number.

88728324129 is the 148937-th centered octagonal number.

It is an amenable number.

88728324129 is a deficient number, since it is larger than the sum of its proper divisors (49926184864).

88728324129 is an frugal number, since it uses more digits than its factorization.

88728324129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2936 (or 1465 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The spelling of 88728324129 in words is "eighty-eight billion, seven hundred twenty-eight million, three hundred twenty-four thousand, one hundred twenty-nine".

Divisors: 1 3 9 23 27 69 81 207 529 621 1439 1587 1863 4317 4761 12951 14283 33097 38853 42849 99291 116559 297873 761231 893619 2070721 2283693 2680857 6212163 6851079 18636489 20553237 47626583 55909467 61659711 142879749 167728401 428639247 1095411409 1285917741 3286234227 3857753223 9858702681 29576108043 88728324129