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150923464048 = 24710756322369
BaseRepresentation
bin1000110010001110111…
…1010100110101110000
3112102120010010100101201
42030203233110311300
54433042401322143
6153155553340544
713622011164160
oct2144357246560
9472503110351
10150923464048
11590083a7385
12252bbb67754
131130299cba6
14743a2985a0
153dd4be364d
hex2323bd4d70

150923464048 has 80 divisors (see below), whose sum is σ = 337925157120. Its totient is φ = 63960311808.

The previous prime is 150923464039. The next prime is 150923464079. The reversal of 150923464048 is 840464329051.

150923464048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 150923463989 and 150923464007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6735808 + ... + 6758176.

It is an arithmetic number, because the mean of its divisors is an integer number (4224064464).

Almost surely, 2150923464048 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 150923464048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168962578560).

150923464048 is an abundant number, since it is smaller than the sum of its proper divisors (187001693072).

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

150923464048 is a wasteful number, since it uses less digits than its factorization.

150923464048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23054 (or 23048 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 46.

The spelling of 150923464048 in words is "one hundred fifty billion, nine hundred twenty-three million, four hundred sixty-four thousand, forty-eight".

Divisors: 1 2 4 7 8 14 16 28 56 107 112 214 428 563 749 856 1126 1498 1712 2252 2996 3941 4504 5992 7882 9008 11984 15764 22369 31528 44738 60241 63056 89476 120482 156583 178952 240964 313166 357904 421687 481928 626332 843374 963856 1252664 1686748 2393483 2505328 3373496 4786966 6746992 9573932 12593747 16754381 19147864 25187494 33508762 38295728 50374988 67017524 88156229 100749976 134035048 176312458 201499952 268070096 352624916 705249832 1347530929 1410499664 2695061858 5390123716 9432716503 10780247432 18865433006 21560494864 37730866012 75461732024 150923464048