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151325750352 = 24374716575783
BaseRepresentation
bin1000110011101110110…
…1111011010001010000
3112110121011002121110110
42030323231323101100
54434403343002402
6153303524001320
713634664440430
oct2147355732120
9473534077413
10151325750352
11591a4493aa7
12253b2830240
131136813201a
1474778962c0
153e0a1a956c
hex233bb7b450

151325750352 has 160 divisors (see below), whose sum is σ = 456631345152. Its totient is φ = 42283164672.

The previous prime is 151325750339. The next prime is 151325750383. The reversal of 151325750352 is 253057523151.

It is a self number, because there is not a number n which added to its sum of digits gives 151325750352.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26164453 + ... + 26170235.

Almost surely, 2151325750352 is an apocalyptic number.

151325750352 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 151325750352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228315672576).

151325750352 is an abundant number, since it is smaller than the sum of its proper divisors (305305594800).

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

151325750352 is a wasteful number, since it uses less digits than its factorization.

151325750352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7505 (or 7499 counting only the distinct ones).

The product of its (nonzero) digits is 157500, while the sum is 39.

The spelling of 151325750352 in words is "one hundred fifty-one billion, three hundred twenty-five million, seven hundred fifty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 47 48 56 84 94 112 141 168 188 282 329 336 376 564 658 752 987 1128 1316 1657 1974 2256 2632 3314 3948 4971 5264 5783 6628 7896 9942 11566 11599 13256 15792 17349 19884 23132 23198 26512 34698 34797 39768 40481 46264 46396 69396 69594 77879 79536 80962 92528 92792 121443 138792 139188 155758 161924 185584 233637 242886 271801 277584 278376 311516 323848 467274 485772 543602 545153 556752 623032 647696 815403 934548 971544 1087204 1090306 1246064 1630806 1635459 1869096 1902607 1943088 2174408 2180612 3261612 3270918 3738192 3805214 4348816 4361224 5707821 6523224 6541836 7610428 8722448 9582431 11415642 13046448 13083672 15220856 19164862 22831284 26167344 28747293 30441712 38329724 45662568 57494586 67077017 76659448 91325136 114989172 134154034 153318896 201231051 229978344 268308068 402462102 450374257 459956688 536616136 804924204 900748514 1073232272 1351122771 1609848408 1801497028 2702245542 3152619799 3219696816 3602994056 5404491084 6305239598 7205988112 9457859397 10808982168 12610479196 18915718794 21617964336 25220958392 37831437588 50441916784 75662875176 151325750352