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146831093352 = 23324767647609
BaseRepresentation
bin1000100010111111010…
…0001010111001101000
3112000222220121101011200
42020233310022321220
54401202224441402
6151241523524200
713415416462236
oct2105764127150
9460886541150
10146831093352
11572a8362739
1224559529660
1310accba9478
14716c97b956
153c457c421c
hex222fd0ae68

146831093352 has 96 divisors (see below), whose sum is σ = 412190812800. Its totient is φ = 47187309312.

The previous prime is 146831093323. The next prime is 146831093369. The reversal of 146831093352 is 253390138641.

146831093352 is a `hidden beast` number, since 1 + 468 + 3 + 109 + 33 + 52 = 666.

146831093352 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 146831093298 and 146831093307.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97077 + ... + 550532.

It is an arithmetic number, because the mean of its divisors is an integer number (4293654300).

Almost surely, 2146831093352 is an apocalyptic number.

146831093352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

146831093352 is an abundant number, since it is smaller than the sum of its proper divisors (265359719448).

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

146831093352 is a wasteful number, since it uses less digits than its factorization.

146831093352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647735 (or 647728 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 146831093352 in words is "one hundred forty-six billion, eight hundred thirty-one million, ninety-three thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 47 67 72 94 134 141 188 201 268 282 376 402 423 536 564 603 804 846 1128 1206 1608 1692 2412 3149 3384 4824 6298 9447 12596 18894 25192 28341 37788 56682 75576 113364 226728 647609 1295218 1942827 2590436 3885654 5180872 5828481 7771308 11656962 15542616 23313924 30437623 43389803 46627848 60875246 86779606 91312869 121750492 130169409 173559212 182625738 243500984 260338818 273938607 347118424 365251476 390508227 520677636 547877214 730502952 781016454 1041355272 1095754428 1562032908 2039320741 2191508856 3124065816 4078641482 6117962223 8157282964 12235924446 16314565928 18353886669 24471848892 36707773338 48943697784 73415546676 146831093352