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46279056640 = 28573523947
BaseRepresentation
bin101011000110011100…
…100101110100000000
311102110021012122220211
4223012130211310000
51224234414303030
633132120443504
73225560330245
oct530634456400
9142407178824
1046279056640
1118699359253
128b76919594
134496bc54ab
14235049b5cc
15130cd9312a
hexac6725d00

46279056640 has 144 divisors (see below), whose sum is σ = 112705080768. Its totient is φ = 18203885568.

The previous prime is 46279056623. The next prime is 46279056641. The reversal of 46279056640 is 4665097264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46279056641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48868647 + ... + 48869593.

It is an arithmetic number, because the mean of its divisors is an integer number (782674172).

Almost surely, 246279056640 is an apocalyptic number.

46279056640 is a gapful number since it is divisible by the number (40) 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 46279056640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56352540384).

46279056640 is an abundant number, since it is smaller than the sum of its proper divisors (66426024128).

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

46279056640 is an equidigital number, since it uses as much as digits as its factorization.

46279056640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1564 (or 1550 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 49.

The spelling of 46279056640 in words is "forty-six billion, two hundred seventy-nine million, fifty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 73 80 128 146 160 256 292 320 365 523 584 640 730 947 1046 1168 1280 1460 1894 2092 2336 2615 2920 3788 4184 4672 4735 5230 5840 7576 8368 9344 9470 10460 11680 15152 16736 18688 18940 20920 23360 30304 33472 37880 38179 41840 46720 60608 66944 69131 75760 76358 83680 93440 121216 133888 138262 151520 152716 167360 190895 242432 276524 303040 305432 334720 345655 381790 495281 553048 606080 610864 669440 691310 763580 990562 1106096 1212160 1221728 1382620 1527160 1981124 2212192 2443456 2476405 2765240 3054320 3962248 4424384 4886912 4952810 5530480 6108640 7924496 8848768 9773824 9905620 11060960 12217280 15848992 17697536 19811240 22121920 24434560 31697984 36155513 39622480 44243840 48869120 63395968 72311026 79244960 88487680 126791936 144622052 158489920 180777565 289244104 316979840 361555130 578488208 633959680 723110260 1156976416 1446220520 2313952832 2892441040 4627905664 5784882080 9255811328 11569764160 23139528320 46279056640