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150263902752 = 25329112947807
BaseRepresentation
bin1000101111110001101…
…1010011001000100000
3112100212011001011101120
42023330123103020200
54430220024342002
6153010312532240
713566452046015
oct2137433231040
9470764034346
10150263902752
11587aa0681a7
12251570b1080
131122914bc32
1473b684970c
153d96d5ccbc
hex22fc6d3220

150263902752 has 96 divisors (see below), whose sum is σ = 408414182400. Its totient is φ = 48316950528.

The previous prime is 150263902741. The next prime is 150263902753. The reversal of 150263902752 is 257209362051.

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

It is not an unprimeable number, because it can be changed into a prime (150263902753) 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 15 ways as a sum of consecutive naturals, for example, 3119233 + ... + 3167039.

It is an arithmetic number, because the mean of its divisors is an integer number (4254314400).

Almost surely, 2150263902752 is an apocalyptic number.

150263902752 is a gapful number since it is divisible by the number (12) 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 150263902752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204207091200).

150263902752 is an abundant number, since it is smaller than the sum of its proper divisors (258150279648).

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

150263902752 is a wasteful number, since it uses less digits than its factorization.

150263902752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48978 (or 48970 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 42.

The spelling of 150263902752 in words is "one hundred fifty billion, two hundred sixty-three million, nine hundred two thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 928 1129 1392 2258 2784 3387 4516 6774 9032 13548 18064 27096 32741 36128 47807 54192 65482 95614 98223 108384 130964 143421 191228 196446 261928 286842 382456 392892 523856 573684 764912 785784 1047712 1147368 1386403 1529824 1571568 2294736 2772806 3143136 4159209 4589472 5545612 8318418 11091224 16636836 22182448 33273672 44364896 53974103 66547344 107948206 133094688 161922309 215896412 323844618 431792824 647689236 863585648 1295378472 1565248987 1727171296 2590756944 3130497974 4695746961 5181513888 6260995948 9391493922 12521991896 18782987844 25043983792 37565975688 50087967584 75131951376 150263902752