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150762823680 = 213357573
BaseRepresentation
bin1000110001101000101…
…0100010000000000000
3112102010220211222020110
42030122022202000000
54432230240324210
6153132014311320
713615020600000
oct2143212420000
9472126758213
10150762823680
1158a35757947
12252761b8540
13112a8616b11
147422c00000
153dc5a61420
hex231a2a2000

150762823680 has 672 divisors, whose sum is σ = 570518446464. Its totient is φ = 33988018176.

The previous prime is 150762823669. The next prime is 150762823693. The reversal of 150762823680 is 86328267051.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2065244124 + ... + 2065244196.

Almost surely, 2150762823680 is an apocalyptic number.

150762823680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150762823680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285259223232).

150762823680 is an abundant number, since it is smaller than the sum of its proper divisors (419755622784).

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

150762823680 is an frugal number, since it uses more digits than its factorization.

150762823680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 150762823680 in words is "one hundred fifty billion, seven hundred sixty-two million, eight hundred twenty-three thousand, six hundred eighty".