Search a number
-
+
641151561420 = 2232518140994801
BaseRepresentation
bin10010101010001111001…
…11000110111011001100
32021021220221202222021200
421111013213012323030
541001034244431140
61210312503025500
764215222231516
oct11250747067314
92237827688250
10641151561420
11227a02383797
12a431443b290
13485ca474756
1423063772bb6
1511a279c3030
hex95479c6ecc

641151561420 has 144 divisors (see below), whose sum is σ = 1956455810400. Its totient is φ = 169952256000.

The previous prime is 641151561419. The next prime is 641151561431. The reversal of 641151561420 is 24165151146.

641151561420 is a `hidden beast` number, since 6 + 4 + 1 + 1 + 5 + 15 + 614 + 20 = 666.

It is a super-2 number, since 2×6411515614202 (a number of 24 digits) contains 22 as substring.

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

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, 133543020 + ... + 133547820.

Almost surely, 2641151561420 is an apocalyptic number.

641151561420 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 641151561420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (978227905200).

641151561420 is an abundant number, since it is smaller than the sum of its proper divisors (1315304248980).

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

641151561420 is a wasteful number, since it uses less digits than its factorization.

641151561420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9096 (or 9091 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 641151561420 in words is "six hundred forty-one billion, one hundred fifty-one million, five hundred sixty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 181 362 543 724 905 1086 1629 1810 2172 2715 3258 3620 4099 4801 5430 6516 8145 8198 9602 10860 12297 14403 16290 16396 19204 20495 24005 24594 28806 32580 36891 40990 43209 48010 49188 57612 61485 72015 73782 81980 86418 96020 122970 144030 147564 172836 184455 216045 245940 288060 368910 432090 737820 741919 864180 868981 1483838 1737962 2225757 2606943 2967676 3475924 3709595 4344905 4451514 5213886 6677271 7419190 7820829 8689810 8903028 10427772 11128785 13034715 13354542 14838380 15641658 17379620 19679299 22257570 26069430 26709084 31283316 33386355 39104145 39358598 44515140 52138860 59037897 66772710 78208290 78717196 98396495 118075794 133545420 156416580 177113691 196792990 236151588 295189485 354227382 393585980 590378970 708454764 885568455 1180757940 1771136910 3542273820 3561953119 7123906238 10685859357 14247812476 17809765595 21371718714 32057578071 35619531190 42743437428 53429296785 64115156142 71239062380 106858593570 128230312284 160287890355 213717187140 320575780710 641151561420