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153072517520 = 24513173850781
BaseRepresentation
bin1000111010001111010…
…1010100000110010000
3112122002212221120112202
42032203311110012100
510001443031030040
6154153123142332
714026164634166
oct2164365240620
9478085846482
10153072517520
1159a1049a02a
12257bb8149a8
1311585ca4370
1475a1873236
153ead6ea015
hex23a3d54190

153072517520 has 80 divisors (see below), whose sum is σ = 385485921072. Its totient is φ = 56192317440.

The previous prime is 153072517519. The next prime is 153072517561. The reversal of 153072517520 is 25715270351.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 15843760384 + 137228757136 = 125872^2 + 370444^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 245471 + ... + 605310.

Almost surely, 2153072517520 is an apocalyptic number.

153072517520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

153072517520 is an abundant number, since it is smaller than the sum of its proper divisors (232413403552).

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

153072517520 is a wasteful number, since it uses less digits than its factorization.

153072517520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 850980 (or 850974 counting only the distinct ones).

The product of its (nonzero) digits is 73500, while the sum is 38.

Adding to 153072517520 its reverse (25715270351), we get a palindrome (178787787871).

The spelling of 153072517520 in words is "one hundred fifty-three billion, seventy-two million, five hundred seventeen thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 173 208 260 346 520 692 865 1040 1384 1730 2249 2768 3460 4498 6920 8996 11245 13840 17992 22490 35984 44980 89960 179920 850781 1701562 3403124 4253905 6806248 8507810 11060153 13612496 17015620 22120306 34031240 44240612 55300765 68062480 88481224 110601530 147185113 176962448 221203060 294370226 442406120 588740452 735925565 884812240 1177480904 1471851130 1913406469 2354961808 2943702260 3826812938 5887404520 7653625876 9567032345 11774809040 15307251752 19134064690 30614503504 38268129380 76536258760 153072517520