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6641013312540 = 2233526774594013
BaseRepresentation
bin110000010100011101100…
…1111010100110000011100
3212111212121122011202101000
41200220323033110300130
51332301243402000130
622042501150550300
71253540333525025
oct140507317246034
925455548152330
106641013312540
11213048a97a772
128b30a5b08390
13392324c8b279
1418d5d9055c4c
15b7b3474d260
hex60a3b3d4c1c

6641013312540 has 96 divisors (see below), whose sum is σ = 20668652746560. Its totient is φ = 1770274960128.

The previous prime is 6641013312529. The next prime is 6641013312553. The reversal of 6641013312540 is 452133101466.

6641013312540 is a `hidden beast` number, since 6 + 6 + 4 + 101 + 3 + 3 + 1 + 2 + 540 = 666.

It is a super-3 number, since 3×66410133125403 (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6641013312495 and 6641013312504.

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, 851427 + ... + 3742586.

It is an arithmetic number, because the mean of its divisors is an integer number (215298466110).

Almost surely, 26641013312540 is an apocalyptic number.

6641013312540 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6641013312540 is an abundant number, since it is smaller than the sum of its proper divisors (14027639434020).

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

6641013312540 is a wasteful number, since it uses less digits than its factorization.

6641013312540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4596708 (or 4596700 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 6641013312540 in words is "six trillion, six hundred forty-one billion, thirteen million, three hundred twelve thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 2677 5354 8031 10708 13385 16062 24093 26770 32124 40155 48186 53540 72279 80310 96372 120465 144558 160620 240930 289116 361395 481860 722790 1445580 4594013 9188026 13782039 18376052 22970065 27564078 41346117 45940130 55128156 68910195 82692234 91880260 124038351 137820390 165384468 206730585 248076702 275640780 413461170 496153404 620191755 826922340 1240383510 2480767020 12298172801 24596345602 36894518403 49192691204 61490864005 73789036806 110683555209 122981728010 147578073612 184472592015 221367110418 245963456020 332050665627 368945184030 442734220836 553417776045 664101331254 737890368060 1106835552090 1328202662508 1660253328135 2213671104180 3320506656270 6641013312540