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75012208865660 = 225112436111817301
BaseRepresentation
bin10001000011100100100100…
…000100000011000101111100
3100211121002121210212112101102
4101003210210010003011330
534313000000432200120
6423312044422232232
721541311315032543
oct2103444404030574
9324532553775342
1075012208865660
11219a0554382100
1284b5a50b85678
1332b180c2a2221
14147487887915a
158a138de93d75
hex44392410317c

75012208865660 has 144 divisors (see below), whose sum is σ = 180079232795616. Its totient is φ = 26206044480000.

The previous prime is 75012208865641. The next prime is 75012208865683. The reversal of 75012208865660 is 6656880221057.

It is a junction number, because it is equal to n+sod(n) for n = 75012208865596 and 75012208865605.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 439010 + ... + 12256310.

Almost surely, 275012208865660 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 75012208865660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90039616397808).

75012208865660 is an abundant number, since it is smaller than the sum of its proper divisors (105067023929956).

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

75012208865660 is a wasteful number, since it uses less digits than its factorization.

75012208865660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11817436 (or 11817423 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 56.

The spelling of 75012208865660 in words is "seventy-five trillion, twelve billion, two hundred eight million, eight hundred sixty-five thousand, six hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 43 44 55 61 86 110 121 122 172 215 220 242 244 305 430 473 484 605 610 671 860 946 1210 1220 1342 1892 2365 2420 2623 2684 3355 4730 5203 5246 6710 7381 9460 10406 10492 13115 13420 14762 20812 26015 26230 28853 29524 36905 52030 52460 57706 73810 104060 115412 144265 147620 288530 317383 577060 634766 1269532 1586915 3173830 6347660 11817301 23634602 47269204 59086505 118173010 129990311 236346020 259980622 508143943 519961244 649951555 720855361 1016287886 1299903110 1429893421 1441710722 2032575772 2540719715 2599806220 2859786842 2883421444 3604276805 5081439430 5589583373 5719573684 7149467105 7208553610 7929408971 10162878860 11179166746 14298934210 14417107220 15858817942 22358333492 27947916865 28597868420 30996780523 31717635884 39647044855 55895833730 61485417103 61993561046 79294089710 87223498681 111791667460 122970834206 123987122092 154983902615 158588179420 174446997362 245941668412 307427085515 309967805230 340964585753 348893994724 436117493405 614854171030 619935610460 681929171506 872234986810 1229708342060 1363858343012 1704822928765 1744469973620 3409645857530 3750610443283 6819291715060 7501220886566 15002441773132 18753052216415 37506104432830 75012208865660