Search a number
-
+
152908408476 = 223371144713781
BaseRepresentation
bin1000111001101000001…
…1010010011010011100
3112121200110010222021000
42032122003102122130
510001124023032401
6154124541510300
714022133012155
oct2163203223234
9477613128230
10152908408476
11599368a051a
1225774872390
131155aca5515
147587b5492c
153e9e0d0186
hex239a0d269c

152908408476 has 96 divisors (see below), whose sum is σ = 402319733760. Its totient is φ = 50213217600.

The previous prime is 152908408459. The next prime is 152908408561. The reversal of 152908408476 is 674804809251.

It is a happy number.

152908408476 is a `hidden beast` number, since 1 + 5 + 2 + 90 + 84 + 0 + 8 + 476 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 11088706 + ... + 11102486.

It is an arithmetic number, because the mean of its divisors is an integer number (4190830560).

Almost surely, 2152908408476 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152908408476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201159866880).

152908408476 is an abundant number, since it is smaller than the sum of its proper divisors (249411325284).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

152908408476 is a wasteful number, since it uses less digits than its factorization.

152908408476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15312 (or 15304 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 152908408476 in words is "one hundred fifty-two billion, nine hundred eight million, four hundred eight thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 71 108 142 213 284 426 639 852 1278 1447 1917 2556 2894 3834 4341 5788 7668 8682 13023 13781 17364 26046 27562 39069 41343 52092 55124 78138 82686 102737 124029 156276 165372 205474 248058 308211 372087 410948 496116 616422 744174 924633 978451 1232844 1488348 1849266 1956902 2773899 2935353 3698532 3913804 5547798 5870706 8806059 11095596 11741412 17612118 19941107 26418177 35224236 39882214 52836354 59823321 79764428 105672708 119646642 179469963 239293284 358939926 538409889 717879852 1076819778 1415818597 2153639556 2831637194 4247455791 5663274388 8494911582 12742367373 16989823164 25484734746 38227102119 50969469492 76454204238 152908408476