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46980688480 = 2551131861083
BaseRepresentation
bin101011110000010001…
…000110101001100000
311111021011110020212021
4223300101012221200
51232204024012410
633325503111224
73252140156155
oct536021065140
9144234406767
1046980688480
1118a19412680
1291318a2514
13457938656b
1423b973c22c
15134e788eda
hexaf0446a60

46980688480 has 96 divisors (see below), whose sum is σ = 124988064768. Its totient is φ = 16532774400.

The previous prime is 46980688369. The next prime is 46980688507. The reversal of 46980688480 is 8488608964.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 375982 + ... + 485101.

It is an arithmetic number, because the mean of its divisors is an integer number (1301959008).

Almost surely, 246980688480 is an apocalyptic number.

46980688480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46980688480 is an abundant number, since it is smaller than the sum of its proper divisors (78007376288).

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

46980688480 is a wasteful number, since it uses less digits than its factorization.

46980688480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861140 (or 861132 counting only the distinct ones).

The product of its (nonzero) digits is 21233664, while the sum is 61.

The spelling of 46980688480 in words is "forty-six billion, nine hundred eighty million, six hundred eighty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 31 32 40 44 55 62 80 88 110 124 155 160 176 220 248 310 341 352 440 496 620 682 880 992 1240 1364 1705 1760 2480 2728 3410 4960 5456 6820 10912 13640 27280 54560 861083 1722166 3444332 4305415 6888664 8610830 9471913 13777328 17221660 18943826 26693573 27554656 34443320 37887652 47359565 53387146 68886640 75775304 94719130 106774292 133467865 137773280 151550608 189438260 213548584 266935730 293629303 303101216 378876520 427097168 533871460 587258606 757753040 854194336 1067742920 1174517212 1468146515 1515506080 2135485840 2349034424 2936293030 4270971680 4698068848 5872586060 9396137696 11745172120 23490344240 46980688480