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41790274920 = 233651433137
BaseRepresentation
bin100110111010111001…
…001111110101101000
310222212102202221000000
4212322321033311220
51141041302244140
631110450343000
73006413322132
oct467271176550
9128772687000
1041790274920
11167a5580099
12812358aa60
133c2cc48c34
142046272052
151148c6da30
hex9bae4fd68

41790274920 has 112 divisors (see below), whose sum is σ = 140977785060. Its totient is φ = 11144065536.

The previous prime is 41790274901. The next prime is 41790274963. The reversal of 41790274920 is 2947209714.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 33530736996 + 8259537924 = 183114^2 + 90882^2 .

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 27 ways as a sum of consecutive naturals, for example, 687409 + ... + 745728.

Almost surely, 241790274920 is an apocalyptic number.

41790274920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41790274920 is an abundant number, since it is smaller than the sum of its proper divisors (99187510140).

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

41790274920 is a wasteful number, since it uses less digits than its factorization.

41790274920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1433166 (or 1433147 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 41790274920 in words is "forty-one billion, seven hundred ninety million, two hundred seventy-four thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 243 270 324 360 405 486 540 648 729 810 972 1080 1215 1458 1620 1944 2430 2916 3240 3645 4860 5832 7290 9720 14580 29160 1433137 2866274 4299411 5732548 7165685 8598822 11465096 12898233 14331370 17197644 21497055 25796466 28662740 34395288 38694699 42994110 51592932 57325480 64491165 77389398 85988220 103185864 116084097 128982330 154778796 171976440 193473495 232168194 257964660 309557592 348252291 386946990 464336388 515929320 580420485 696504582 773893980 928672776 1044756873 1160840970 1393009164 1547787960 1741261455 2089513746 2321681940 2786018328 3482522910 4179027492 4643363880 5223784365 6965045820 8358054984 10447568730 13930091640 20895137460 41790274920