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147031577532 = 2232723103246289
BaseRepresentation
bin1000100011101111000…
…0111101001110111100
3112001111212212000202200
42020323300331032330
54402110040440112
6151313444551500
713423402534230
oct2107360751674
9461455760680
10147031577532
11573a0546444
12245b46b2590
1310b325a2c68
14718b4485c0
153c581c6cdc
hex223bc3d3bc

147031577532 has 144 divisors (see below), whose sum is σ = 447530603520. Its totient is φ = 39792259584.

The previous prime is 147031577507. The next prime is 147031577543. The reversal of 147031577532 is 235775130741.

147031577532 is a `hidden beast` number, since 1 + 4 + 70 + 3 + 1 + 577 + 5 + 3 + 2 = 666.

147031577532 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1470315775323 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 473844 + ... + 720132.

Almost surely, 2147031577532 is an apocalyptic number.

147031577532 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 147031577532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223765301760).

147031577532 is an abundant number, since it is smaller than the sum of its proper divisors (300499025988).

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

147031577532 is a wasteful number, since it uses less digits than its factorization.

147031577532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246432 (or 246427 counting only the distinct ones).

The product of its (nonzero) digits is 617400, while the sum is 45.

The spelling of 147031577532 in words is "one hundred forty-seven billion, thirty-one million, five hundred seventy-seven thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 63 69 84 92 103 126 138 161 206 207 252 276 309 322 412 414 483 618 644 721 828 927 966 1236 1442 1449 1854 1932 2163 2369 2884 2898 3708 4326 4738 5796 6489 7107 8652 9476 12978 14214 16583 21321 25956 28428 33166 42642 49749 66332 85284 99498 149247 198996 246289 298494 492578 596988 738867 985156 1477734 1724023 2216601 2955468 3448046 4433202 5172069 5664647 6896092 8866404 10344138 11329294 15516207 16993941 20688276 22658588 25367767 31032414 33987882 39652529 50735534 50981823 62064828 67975764 76103301 79305058 101471068 101963646 118957587 152206602 158610116 177574369 203927292 228309903 237915174 304413204 355148738 356872761 456619806 475830348 532723107 583458641 710297476 713745522 913239612 1065446214 1166917282 1427491044 1598169321 1750375923 2130892428 2333834564 3196338642 3500751846 4084210487 5251127769 6392677284 7001503692 8168420974 10502255538 12252631461 16336841948 21004511076 24505262922 36757894383 49010525844 73515788766 147031577532