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152383861248 = 293177098231
BaseRepresentation
bin1000110111101011001…
…0010011001000000000
3112120022220010012201220
42031322302103020000
54444040232024443
6154000522555040
714003133310023
oct2157262231000
9476286105656
10152383861248
1159697798413
1225649068a80
13114a6407348
14753820d1ba
153e6d018a83
hex237ac93200

152383861248 has 160 divisors (see below), whose sum is σ = 430498696320. Its totient is φ = 47733473280.

The previous prime is 152383861243. The next prime is 152383861271. The reversal of 152383861248 is 842168383251.

It is a super-2 number, since 2×1523838612482 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 152383861248.

It is not an unprimeable number, because it can be changed into a prime (152383861243) 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, 18509293 + ... + 18517523.

It is an arithmetic number, because the mean of its divisors is an integer number (2690616852).

Almost surely, 2152383861248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152383861248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215249348160).

152383861248 is an abundant number, since it is smaller than the sum of its proper divisors (278114835072).

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

152383861248 is an equidigital number, since it uses as much as digits as its factorization.

152383861248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8978 (or 8962 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 51.

The spelling of 152383861248 in words is "one hundred fifty-two billion, three hundred eighty-three million, eight hundred sixty-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 512 544 709 768 816 1088 1418 1536 1632 2127 2176 2836 3264 4254 4352 5672 6528 8231 8508 8704 11344 12053 13056 16462 17016 22688 24106 24693 26112 32924 34032 36159 45376 48212 49386 65848 68064 72318 90752 96424 98772 131696 136128 139927 144636 181504 192848 197544 263392 272256 279854 289272 363008 385696 395088 419781 526784 544512 559708 578544 771392 790176 839562 1053568 1089024 1119416 1157088 1542784 1580352 1679124 2107136 2238832 2314176 3085568 3160704 3358248 4214272 4477664 4628352 5835779 6171136 6321408 6716496 8955328 9256704 11671558 12642816 13432992 17507337 17910656 18513408 23343116 26865984 35014674 35821312 46686232 53731968 70029348 71642624 93372464 99208243 107463936 140058696 186744928 198416486 214927872 280117392 297624729 373489856 396832972 560234784 595249458 746979712 793665944 1120469568 1190498916 1493959424 1587331888 2240939136 2380997832 2987918848 3174663776 4481878272 4761995664 6349327552 8963756544 9523991328 12698655104 19047982656 25397310208 38095965312 50794620416 76191930624 152383861248