Search a number
-
+
150051914232 = 233115623101081
BaseRepresentation
bin1000101110111111001…
…0101000000111111000
3112100022101011000210220
42023233302220013320
54424301242223412
6152533301140040
713561266140463
oct2135762500770
9470271130726
10150051914232
1158700437080
12250b80ba620
13111c4257c3c
1473966262da
153d8343668c
hex22efca81f8

150051914232 has 64 divisors (see below), whose sum is σ = 409309320960. Its totient is φ = 45461740800.

The previous prime is 150051914227. The next prime is 150051914251. The reversal of 150051914232 is 232419150051.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 150051914193 and 150051914202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1433932 + ... + 1535012.

It is an arithmetic number, because the mean of its divisors is an integer number (6395458140).

Almost surely, 2150051914232 is an apocalyptic number.

150051914232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

150051914232 is an abundant number, since it is smaller than the sum of its proper divisors (259257406728).

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

150051914232 is a wasteful number, since it uses less digits than its factorization.

150051914232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106724 (or 106720 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The spelling of 150051914232 in words is "one hundred fifty billion, fifty-one million, nine hundred fourteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 5623 11246 16869 22492 33738 44984 61853 67476 101081 123706 134952 185559 202162 247412 303243 371118 404324 494824 606486 742236 808648 1111891 1212972 1484472 2223782 2425944 3335673 4447564 6671346 8895128 13342692 26685384 568378463 1136756926 1705135389 2273513852 3410270778 4547027704 6252163093 6820541556 12504326186 13641083112 18756489279 25008652372 37512978558 50017304744 75025957116 150051914232