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147850233792 = 26317122936857
BaseRepresentation
bin1000100110110010001…
…1111000011111000000
3112010121221022002000220
42021230203320133000
54410244124440132
6151531011343040
713452603152202
oct2115443703700
9463557262026
10147850233792
1157780669a68
12247a28b1a80
1310c33088751
14722806c772
153ca4ed6a2c
hex226c8f87c0

147850233792 has 112 divisors (see below), whose sum is σ = 414546348960. Its totient is φ = 46345388032.

The previous prime is 147850233757. The next prime is 147850233799. The reversal of 147850233792 is 297332058741.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147850233799) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3993028 + ... + 4029884.

Almost surely, 2147850233792 is an apocalyptic number.

147850233792 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 147850233792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207273174480).

147850233792 is an abundant number, since it is smaller than the sum of its proper divisors (266696115168).

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

147850233792 is a wasteful number, since it uses less digits than its factorization.

147850233792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38118 (or 38108 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 51.

The spelling of 147850233792 in words is "one hundred forty-seven billion, eight hundred fifty million, two hundred thirty-three thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 192 204 272 408 544 816 1088 1229 1632 2458 3264 3687 4916 7374 9832 14748 19664 20893 29496 36857 39328 41786 58992 62679 73714 78656 83572 110571 117984 125358 147428 167144 221142 235968 250716 294856 334288 442284 501432 589712 626569 668576 884568 1002864 1179424 1253138 1337152 1769136 1879707 2005728 2358848 2506276 3538272 3759414 4011456 5012552 7076544 7518828 10025104 15037656 20050208 30075312 40100416 45297253 60150624 90594506 120301248 135891759 181189012 271783518 362378024 543567036 724756048 770053301 1087134072 1449512096 1540106602 2174268144 2310159903 2899024192 3080213204 4348536288 4620319806 6160426408 8697072576 9240639612 12320852816 18481279224 24641705632 36962558448 49283411264 73925116896 147850233792