Search a number
-
+
150639532416 = 2732193677531
BaseRepresentation
bin1000110001001011010…
…0001101100110000000
3112101211022212010102100
42030102310031212000
54432002210014131
6153111451550400
713611662620152
oct2142264154600
9471738763370
10150639532416
11589820a833a
1225240a5b400
1311288c09ac9
1474106a8ad2
153db9d0a7e6
hex2312d0d980

150639532416 has 96 divisors (see below), whose sum is σ = 435727604520. Its totient is φ = 49952931840.

The previous prime is 150639532397. The next prime is 150639532427. The reversal of 150639532416 is 614235936051.

150639532416 is a `hidden beast` number, since 1 + 5 + 0 + 639 + 5 + 3 + 2 + 4 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1506395324162 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 116430 + ... + 561101.

Almost surely, 2150639532416 is an apocalyptic number.

150639532416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

150639532416 is an abundant number, since it is smaller than the sum of its proper divisors (285088072104).

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

150639532416 is a wasteful number, since it uses less digits than its factorization.

150639532416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677744 (or 677729 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 150639532416 in words is "one hundred fifty billion, six hundred thirty-nine million, five hundred thirty-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 193 288 384 386 576 579 772 1152 1158 1544 1737 2316 3088 3474 4632 6176 6948 9264 12352 13896 18528 24704 27792 37056 55584 74112 111168 222336 677531 1355062 2032593 2710124 4065186 5420248 6097779 8130372 10840496 12195558 16260744 21680992 24391116 32521488 43361984 48782232 65042976 86723968 97564464 130085952 130763483 195128928 260171904 261526966 390257856 392290449 523053932 780515712 784580898 1046107864 1176871347 1569161796 2092215728 2353742694 3138323592 4184431456 4707485388 6276647184 8368862912 9414970776 12553294368 16737725824 18829941552 25106588736 37659883104 50213177472 75319766208 150639532416