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87572740134 = 231121910361637
BaseRepresentation
bin101000110001110111…
…1011111100000100110
322101001002120010112210
41101203233133200212
52413322110141014
6104121431424250
76220064003115
oct1214357374046
9271032503483
1087572740134
113415958a900
1214b7bb25086
138347cb0939
14434a7c3c7c
15242821d859
hex1463bdf826

87572740134 has 96 divisors (see below), whose sum is σ = 204618435840. Its totient is φ = 24896013120.

The previous prime is 87572740127. The next prime is 87572740187. The reversal of 87572740134 is 43104727578.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1389964 + ... + 1451600.

It is an arithmetic number, because the mean of its divisors is an integer number (2131442040).

Almost surely, 287572740134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87572740134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102309217920).

87572740134 is an abundant number, since it is smaller than the sum of its proper divisors (117045695706).

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

87572740134 is a wasteful number, since it uses less digits than its factorization.

87572740134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61786 (or 61775 counting only the distinct ones).

The product of its (nonzero) digits is 1317120, while the sum is 48.

The spelling of 87572740134 in words is "eighty-seven billion, five hundred seventy-two million, seven hundred forty thousand, one hundred thirty-four".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 103 114 121 206 209 242 309 363 418 618 627 726 1133 1254 1957 2266 2299 3399 3914 4598 5871 6798 6897 11742 12463 13794 21527 24926 37389 43054 61637 64581 74778 123274 129162 184911 236797 369822 473594 678007 710391 1171103 1356014 1420782 2034021 2342206 3513309 4068042 6348611 7026618 7458077 12697222 12882133 14916154 19045833 22374231 25764266 38091666 38646399 44748462 69834721 77292798 120623609 139669442 141703463 209504163 241247218 283406926 361870827 419008326 425110389 723741654 768181931 850220778 1326859699 1536363862 2304545793 2653719398 3980579097 4609091586 7961158194 14595456689 29190913378 43786370067 87572740134