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675881311440 = 2435103147118587
BaseRepresentation
bin10011101010111011010…
…10100101110011010000
32101121120022221001221110
421311131222211303100
542033201103431230
61234255014053320
766554653233156
oct11653552456320
92347508831843
10675881311440
1124070441aa35
12aaba734a240
134b9736b58aa
14249da0113d6
15128ab96e4b0
hex9d5daa5cd0

675881311440 has 160 divisors (see below), whose sum is σ = 2117126209536. Its totient is φ = 178354229760.

The previous prime is 675881311403. The next prime is 675881311459. The reversal of 675881311440 is 44113188576.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 675881311440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36353827 + ... + 36372413.

Almost surely, 2675881311440 is an apocalyptic number.

675881311440 is a gapful number since it is divisible by the number (60) 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 675881311440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1058563104768).

675881311440 is an abundant number, since it is smaller than the sum of its proper divisors (1441244898096).

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

675881311440 is a wasteful number, since it uses less digits than its factorization.

675881311440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20177 (or 20171 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 48.

The spelling of 675881311440 in words is "six hundred seventy-five billion, eight hundred eighty-one million, three hundred eleven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 103 120 206 240 309 412 515 618 824 1030 1236 1471 1545 1648 2060 2472 2942 3090 4120 4413 4944 5884 6180 7355 8240 8826 11768 12360 14710 17652 18587 22065 23536 24720 29420 35304 37174 44130 55761 58840 70608 74348 88260 92935 111522 117680 148696 151513 176520 185870 223044 278805 297392 303026 353040 371740 446088 454539 557610 606052 743480 757565 892176 909078 1115220 1212104 1486960 1515130 1818156 1914461 2230440 2272695 2424208 3030260 3636312 3828922 4460880 4545390 5743383 6060520 7272624 7657844 9090780 9572305 11486766 12121040 15315688 18181560 19144610 22973532 27341477 28716915 30631376 36363120 38289220 45947064 54682954 57433830 76578440 82024431 91894128 109365908 114867660 136707385 153156880 164048862 218731816 229735320 273414770 328097724 410122155 437463632 459470640 546829540 656195448 820244310 1093659080 1312390896 1640488620 2187318160 2816172131 3280977240 5632344262 6561954480 8448516393 11264688524 14080860655 16897032786 22529377048 28161721310 33794065572 42242581965 45058754096 56323442620 67588131144 84485163930 112646885240 135176262288 168970327860 225293770480 337940655720 675881311440