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47460428640 = 25325171938743
BaseRepresentation
bin101100001100110111…
…001010101101100000
311112111121011120122100
4230030313022231200
51234144332204030
633445241410400
73300053662422
oct541467125540
9145447146570
1047460428640
11191451a1549
129246499a00
134624896b91
14242333c812
15137b94e360
hexb0cdcab60

47460428640 has 144 divisors (see below), whose sum is σ = 171485784288. Its totient is φ = 11911630848.

The previous prime is 47460428621. The next prime is 47460428641. The reversal of 47460428640 is 4682406474.

47460428640 is a `hidden beast` number, since 474 + 60 + 4 + 2 + 86 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47460428641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 944892 + ... + 993851.

It is an arithmetic number, because the mean of its divisors is an integer number (1190873502).

Almost surely, 247460428640 is an apocalyptic number.

47460428640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47460428640 is an abundant number, since it is smaller than the sum of its proper divisors (124025355648).

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

47460428640 is a wasteful number, since it uses less digits than its factorization.

47460428640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1938781 (or 1938770 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 45.

It can be divided in two parts, 47460 and 428640, that added together give a square (476100 = 6902).

The spelling of 47460428640 in words is "forty-seven billion, four hundred sixty million, four hundred twenty-eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 32 34 36 40 45 48 51 60 68 72 80 85 90 96 102 120 136 144 153 160 170 180 204 240 255 272 288 306 340 360 408 480 510 544 612 680 720 765 816 1020 1224 1360 1440 1530 1632 2040 2448 2720 3060 4080 4896 6120 8160 12240 24480 1938743 3877486 5816229 7754972 9693715 11632458 15509944 17448687 19387430 23264916 29081145 31019888 32958631 34897374 38774860 46529832 58162290 62039776 65917262 69794748 77549720 87243435 93059664 98875893 116324580 131834524 139589496 155099440 164793155 174486870 186119328 197751786 232649160 263669048 279178992 296627679 310198880 329586310 348973740 395503572 465298320 494379465 527338096 558357984 593255358 659172620 697947480 791007144 930596640 988758930 1054676192 1186510716 1318345240 1395894960 1483138395 1582014288 1977517860 2373021432 2636690480 2791789920 2966276790 3164028576 3955035720 4746042864 5273380960 5932553580 7910071440 9492085728 11865107160 15820142880 23730214320 47460428640