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151375430496 = 25317733126541
BaseRepresentation
bin1000110011111010101…
…1011100001101100000
3112110201121120121210210
42030332223130031200
54440004102233441
6153312500454120
713636136633463
oct2147653341540
9473647517723
10151375430496
115921a536474
12254073aa340
1311375507964
1474803092da
153e0e71e616
hex233eadc360

151375430496 has 96 divisors (see below), whose sum is σ = 421311971808. Its totient is φ = 47425167360.

The previous prime is 151375430489. The next prime is 151375430501. The reversal of 151375430496 is 694034573151.

151375430496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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

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, 1132986 + ... + 1259526.

It is an arithmetic number, because the mean of its divisors is an integer number (4388666373).

Almost surely, 2151375430496 is an apocalyptic number.

151375430496 is a gapful number since it is divisible by the number (16) 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 151375430496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210655985904).

151375430496 is an abundant number, since it is smaller than the sum of its proper divisors (269936541312).

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

151375430496 is a wasteful number, since it uses less digits than its factorization.

151375430496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127304 (or 127296 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 48.

The spelling of 151375430496 in words is "one hundred fifty-one billion, three hundred seventy-five million, four hundred thirty thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 733 816 1466 1632 2199 2932 4398 5864 8796 11728 12461 17592 23456 24922 35184 37383 49844 70368 74766 99688 126541 149532 199376 253082 299064 379623 398752 506164 598128 759246 1012328 1196256 1518492 2024656 2151197 3036984 4049312 4302394 6073968 6453591 8604788 12147936 12907182 17209576 25814364 34419152 51628728 68838304 92754553 103257456 185509106 206514912 278263659 371018212 556527318 742036424 1113054636 1484072848 1576827401 2226109272 2968145696 3153654802 4452218544 4730482203 6307309604 8904437088 9460964406 12614619208 18921928812 25229238416 37843857624 50458476832 75687715248 151375430496