Search a number
-
+
151063543764 = 223272920670983
BaseRepresentation
bin1000110010110000010…
…1101011111111010100
3112102220212201010122100
42030230011223333110
54433334231400024
6153221520002100
713625331635640
oct2145405537724
9472825633570
10151063543764
115907a483341
122533aa60330
1311325a075b3
147450b1dc20
153de21637c9
hex232c16bfd4

151063543764 has 72 divisors (see below), whose sum is σ = 451454290560. Its totient is φ = 41672699712.

The previous prime is 151063543759. The next prime is 151063543769. The reversal of 151063543764 is 467345360151.

151063543764 is a `hidden beast` number, since 1 + 5 + 1 + 0 + 635 + 4 + 3 + 7 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (151063543759) and next prime (151063543769).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151063543769) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10328184 + ... + 10342799.

It is an arithmetic number, because the mean of its divisors is an integer number (6270198480).

Almost surely, 2151063543764 is an apocalyptic number.

151063543764 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

151063543764 is an abundant number, since it is smaller than the sum of its proper divisors (300390746796).

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

151063543764 is a wasteful number, since it uses less digits than its factorization.

151063543764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20671029 (or 20671024 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 151063543764 in words is "one hundred fifty-one billion, sixty-three million, five hundred forty-three thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 29 36 42 58 63 84 87 116 126 174 203 252 261 348 406 522 609 812 1044 1218 1827 2436 3654 7308 20670983 41341966 62012949 82683932 124025898 144696881 186038847 248051796 289393762 372077694 434090643 578787524 599458507 744155388 868181286 1198917014 1302271929 1736362572 1798375521 2397834028 2604543858 3596751042 4196209549 5209087716 5395126563 7193502084 8392419098 10790253126 12588628647 16784838196 21580506252 25177257294 37765885941 50354514588 75531771882 151063543764