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146117447082 = 232172961326861
BaseRepresentation
bin1000100000010101000…
…1110100110110101010
3111222011011202101112100
42020011101310312222
54343222031301312
6151043031554230
713361632543665
oct2100521646652
9458134671470
10146117447082
1156a71542732
122439a52b976
1310a1809c979
147101c906dc
153c02d085dc
hex2205474daa

146117447082 has 96 divisors (see below), whose sum is σ = 347348224080. Its totient is φ = 44186204160.

The previous prime is 146117447071. The next prime is 146117447083. The reversal of 146117447082 is 280744711641.

146117447082 is a `hidden beast` number, since 1 + 4 + 6 + 1 + 174 + 470 + 8 + 2 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 10436461281 + 135680985801 = 102159^2 + 368349^2 .

It is a super-2 number, since 2×1461174470822 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (146117447083) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5426332 + ... + 5453192.

Almost surely, 2146117447082 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146117447082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173674112040).

146117447082 is an abundant number, since it is smaller than the sum of its proper divisors (201230776998).

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

146117447082 is a wasteful number, since it uses less digits than its factorization.

146117447082 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27528 (or 27525 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 146117447082 in words is "one hundred forty-six billion, one hundred seventeen million, four hundred forty-seven thousand, eighty-two".

Divisors: 1 2 3 6 9 17 18 29 34 51 58 87 102 153 174 261 306 493 522 613 986 1226 1479 1839 2958 3678 4437 5517 8874 10421 11034 17777 20842 26861 31263 35554 53331 53722 62526 80583 93789 106662 159993 161166 187578 241749 302209 319986 456637 483498 604418 778969 906627 913274 1369911 1557938 1813254 2336907 2719881 2739822 4109733 4673814 5439762 7010721 8219466 13242473 14021442 16465793 26484946 32931586 39727419 49397379 79454838 98794758 119182257 148192137 238364514 279918481 296384274 477507997 559836962 839755443 955015994 1432523991 1679510886 2519266329 2865047982 4297571973 5038532658 8117635949 8595143946 16235271898 24352907847 48705815694 73058723541 146117447082