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152117756520 = 23352982353113
BaseRepresentation
bin1000110110101011101…
…1001100001001101000
3112112122100101200200020
42031222323030021220
54443014121202040
6153514255240440
713663422411342
oct2155273141150
9475570350606
10152117756520
1159570564a54
1225593b19120
1311463246522
147510b40292
153e549a2cd0
hex236aecc268

152117756520 has 128 divisors (see below), whose sum is σ = 472672108800. Its totient is φ = 39117625344.

The previous prime is 152117756519. The next prime is 152117756543. The reversal of 152117756520 is 25657711251.

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, 2837484 + ... + 2890596.

It is an arithmetic number, because the mean of its divisors is an integer number (3692750850).

Almost surely, 2152117756520 is an apocalyptic number.

152117756520 is a gapful number since it is divisible by the number (10) 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 152117756520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236336054400).

152117756520 is an abundant number, since it is smaller than the sum of its proper divisors (320554352280).

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

152117756520 is a wasteful number, since it uses less digits than its factorization.

152117756520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53979 (or 53975 counting only the distinct ones).

The product of its (nonzero) digits is 147000, while the sum is 42.

The spelling of 152117756520 in words is "one hundred fifty-two billion, one hundred seventeen million, seven hundred fifty-six thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 232 290 348 435 580 696 823 870 1160 1646 1740 2469 3292 3480 4115 4938 6584 8230 9876 12345 16460 19752 23867 24690 32920 47734 49380 53113 71601 95468 98760 106226 119335 143202 159339 190936 212452 238670 265565 286404 318678 358005 424904 477340 531130 572808 637356 716010 796695 954680 1062260 1274712 1432020 1540277 1593390 2124520 2864040 3080554 3186780 4620831 6161108 6373560 7701385 9241662 12322216 15402770 18483324 23104155 30805540 36966648 43711999 46208310 61611080 87423998 92416620 131135997 174847996 184833240 218559995 262271994 349695992 437119990 524543988 655679985 874239980 1049087976 1267647971 1311359970 1748479960 2535295942 2622719940 3802943913 5070591884 5245439880 6338239855 7605887826 10141183768 12676479710 15211775652 19014719565 25352959420 30423551304 38029439130 50705918840 76058878260 152117756520