Search a number
-
+
46793748754720 = 25511217142178381
BaseRepresentation
bin10101010001111000001001…
…10001011011000100100000
320010200102211210210010210101
422220330010301123010200
522113132044140122340
6243304430145512144
712566510500462102
oct1250740461330440
9203612753703711
1046793748754720
1113a01132297100
1252b8b37942654
13201582974aa06
14b7ab882dd572
1556232d280c9a
hex2a8f04c5b120

46793748754720 has 144 divisors (see below), whose sum is σ = 128661767580024. Its totient is φ = 16014972723200.

The previous prime is 46793748754691. The next prime is 46793748754787. The reversal of 46793748754720 is 2745784739764.

It can be written as a sum of positive squares in 4 ways, for example, as 35669896215184 + 11123852539536 = 5972428^2 + 3335244^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70760071 + ... + 71418310.

Almost surely, 246793748754720 is an apocalyptic number.

46793748754720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46793748754720 is an abundant number, since it is smaller than the sum of its proper divisors (81868018825304).

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

46793748754720 is a wasteful number, since it uses less digits than its factorization.

46793748754720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142178435 (or 142178416 counting only the distinct ones).

The product of its (nonzero) digits is 1991485440, while the sum is 73.

The spelling of 46793748754720 in words is "forty-six trillion, seven hundred ninety-three billion, seven hundred forty-eight million, seven hundred fifty-four thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 32 34 40 44 55 68 80 85 88 110 121 136 160 170 176 187 220 242 272 340 352 374 440 484 544 605 680 748 880 935 968 1210 1360 1496 1760 1870 1936 2057 2420 2720 2992 3740 3872 4114 4840 5984 7480 8228 9680 10285 14960 16456 19360 20570 29920 32912 41140 65824 82280 164560 329120 142178381 284356762 568713524 710891905 1137427048 1421783810 1563962191 2274854096 2417032477 2843567620 3127924382 4549708192 4834064954 5687135240 6255848764 7819810955 9668129908 11374270480 12085162385 12511697528 15639621910 17203584101 19336259816 22748540960 24170324770 25023395056 26587357247 31279243820 34407168202 38672519632 48340649540 50046790112 53174714494 62558487640 68814336404 77345039264 86017920505 96681299080 106349428988 125116975280 132936786235 137628672808 172035841010 193362598160 212698857976 250233950560 265873572470 275257345616 292460929717 344071682020 386725196320 425397715952 531747144940 550514691232 584921859434 688143364040 850795431904 1063494289880 1169843718868 1376286728080 1462304648585 2126988579760 2339687437736 2752573456160 2924609297170 4253977159520 4679374875472 5849218594340 9358749750944 11698437188680 23396874377360 46793748754720