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150972442790400 = 2936527111911059
BaseRepresentation
bin100010010100111100000010…
…110100101100101000000000
3201210112211021010010221000000
4202110330002310230220000
5124242013030323243100
61253031441024000000
743541253605116440
oct4224740264545000
9653484233127000
10150972442790400
1144117065125770
1214b23579760000
13663184288ac6a
14293d168a16120
15126c216746900
hex894f02d2ca00

150972442790400 has 3360 divisors, whose sum is σ = 736061064076800. Its totient is φ = 29717109964800.

The previous prime is 150972442790387. The next prime is 150972442790401. The reversal of 150972442790400 is 4097244279051.

150972442790400 is a `hidden beast` number, since 1 + 5 + 0 + 9 + 72 + 442 + 7 + 90 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (150972442790401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 13651540071 + ... + 13651551129.

It is an arithmetic number, because the mean of its divisors is an integer number (219065792880).

Almost surely, 2150972442790400 is an apocalyptic number.

150972442790400 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 150972442790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368030532038400).

150972442790400 is an abundant number, since it is smaller than the sum of its proper divisors (585088621286400).

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

150972442790400 is a wasteful number, since it uses less digits than its factorization.

150972442790400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11142 (or 11106 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 150972442790400 in words is "one hundred fifty trillion, nine hundred seventy-two billion, four hundred forty-two million, seven hundred ninety thousand, four hundred".