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152004125472 = 25329271201473
BaseRepresentation
bin1000110110010000100…
…1101110001100100000
3112112100102120122011220
42031210021232030200
54442301024003342
6153455115535040
713660542514443
oct2154411561440
9475312518156
10152004125472
11595124032a1
1225561a5a480
131144583c514
1474dda0165a
153e49a095ec
hex236426e320

152004125472 has 96 divisors (see below), whose sum is σ = 414295015680. Its totient is φ = 48740106240.

The previous prime is 152004125467. The next prime is 152004125473. The reversal of 152004125472 is 274521400251.

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 (152004125473) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 653728 + ... + 855200.

It is an arithmetic number, because the mean of its divisors is an integer number (4315573080).

Almost surely, 2152004125472 is an apocalyptic number.

152004125472 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 152004125472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207147507840).

152004125472 is an abundant number, since it is smaller than the sum of its proper divisors (262290890208).

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

152004125472 is a wasteful number, since it uses less digits than its factorization.

152004125472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201786 (or 201778 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 33.

The spelling of 152004125472 in words is "one hundred fifty-two billion, four million, one hundred twenty-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 271 348 464 542 696 813 928 1084 1392 1626 2168 2784 3252 4336 6504 7859 8672 13008 15718 23577 26016 31436 47154 62872 94308 125744 188616 201473 251488 377232 402946 604419 754464 805892 1208838 1611784 2417676 3223568 4835352 5842717 6447136 9670704 11685434 17528151 19341408 23370868 35056302 46741736 54599183 70112604 93483472 109198366 140225208 163797549 186966944 218396732 280450416 327595098 436793464 560900832 655190196 873586928 1310380392 1583376307 1747173856 2620760784 3166752614 4750128921 5241521568 6333505228 9500257842 12667010456 19000515684 25334020912 38001031368 50668041824 76002062736 152004125472