Search a number
-
+
151405262532 = 2235198198249
BaseRepresentation
bin1000110100000001110…
…1001111011011000100
3112110210200201020200000
42031000131033123010
54440034221400112
6153315444121300
713636651332366
oct2150035173304
9473720636600
10151405262532
1159235361747
1225415396230
131137b751354
147484272d36
153e121637dc
hex234074f6c4

151405262532 has 72 divisors (see below), whose sum is σ = 417782820000. Its totient is φ = 47812182336.

The previous prime is 151405262501. The next prime is 151405262539. The reversal of 151405262532 is 235262504151.

151405262532 is a `hidden beast` number, since 1 + 5 + 14 + 0 + 52 + 62 + 532 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (151405262539) 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 23 ways as a sum of consecutive naturals, for example, 4080657 + ... + 4117592.

Almost surely, 2151405262532 is an apocalyptic number.

151405262532 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

151405262532 is an abundant number, since it is smaller than the sum of its proper divisors (266377557468).

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

151405262532 is a wasteful number, since it uses less digits than its factorization.

151405262532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8198287 (or 8198273 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 151405262532 its reverse (235262504151), we get a palindrome (386667766683).

The spelling of 151405262532 in words is "one hundred fifty-one billion, four hundred five million, two hundred sixty-two thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 162 171 228 243 324 342 486 513 684 972 1026 1539 2052 3078 4617 6156 9234 18468 8198249 16396498 24594747 32792996 49189494 73784241 98378988 147568482 155766731 221352723 295136964 311533462 442705446 467300193 623066924 664058169 885410892 934600386 1328116338 1401900579 1869200772 1992174507 2656232676 2803801158 3984349014 4205701737 5607602316 7968698028 8411403474 12617105211 16822806948 25234210422 37851315633 50468420844 75702631266 151405262532