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41720056551720 = 23325412826562097
BaseRepresentation
bin10010111110001101101010…
…01001101001100100101000
312110201101202110210020011100
421133012311021221210220
520432020133434123340
6224421532425401400
711534113615356021
oct1137066511514450
9173641673706140
1041720056551720
1112325416313838
124819762639260
131a38252318401
14a4339382dc48
154c537b227830
hex25f1b5269928

41720056551720 has 96 divisors (see below), whose sum is σ = 138897261495720. Its totient is φ = 10853998448640.

The previous prime is 41720056551683. The next prime is 41720056551757. The reversal of 41720056551720 is 2715565002714.

41720056551720 is a `hidden beast` number, since 4 + 1 + 7 + 20 + 0 + 5 + 6 + 551 + 72 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (41720056551683) and next prime (41720056551757).

It can be written as a sum of positive squares in 4 ways, for example, as 34379717550084 + 7340339001636 = 5863422^2 + 2709306^2 .

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

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, 1413266289 + ... + 1413295808.

Almost surely, 241720056551720 is an apocalyptic number.

41720056551720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41720056551720 is an abundant number, since it is smaller than the sum of its proper divisors (97177204944000).

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

41720056551720 is a wasteful number, since it uses less digits than its factorization.

41720056551720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2826562155 (or 2826562148 counting only the distinct ones).

The product of its (nonzero) digits is 588000, while the sum is 45.

The spelling of 41720056551720 in words is "forty-one trillion, seven hundred twenty billion, fifty-six million, five hundred fifty-one thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 41 45 60 72 82 90 120 123 164 180 205 246 328 360 369 410 492 615 738 820 984 1230 1476 1640 1845 2460 2952 3690 4920 7380 14760 2826562097 5653124194 8479686291 11306248388 14132810485 16959372582 22612496776 25439058873 28265620970 33918745164 42398431455 50878117746 56531241940 67837490328 84796862910 101756235492 113062483880 115889045977 127195294365 169593725820 203512470984 231778091954 254390588730 339187451640 347667137931 463556183908 508781177460 579445229885 695334275862 927112367816 1017562354920 1043001413793 1158890459770 1390668551724 1738335689655 2086002827586 2317780919540 2781337103448 3476671379310 4172005655172 4635561839080 5215007068965 6953342758620 8344011310344 10430014137930 13906685517240 20860028275860 41720056551720