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416420265660 = 223571576315139
BaseRepresentation
bin1100000111101001001…
…01001111111010111100
31110210212001012021220020
412003310211033322330
523310312042000120
6515144551252140
742041165566440
oct6036445177274
91423761167806
10416420265660
1115066a424a93
126885637a050
13303644b0179
1416224c92820
15ac73257640
hex60f494febc

416420265660 has 96 divisors (see below), whose sum is σ = 1341032609280. Its totient is φ = 94575506688.

The previous prime is 416420265647. The next prime is 416420265683. The reversal of 416420265660 is 66562024614.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3091630 + ... + 3223509.

It is an arithmetic number, because the mean of its divisors is an integer number (13969089680).

Almost surely, 2416420265660 is an apocalyptic number.

It is an amenable number.

416420265660 is an abundant number, since it is smaller than the sum of its proper divisors (924612343620).

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

416420265660 is a wasteful number, since it uses less digits than its factorization.

416420265660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6315315 (or 6315313 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 416420265660 in words is "four hundred sixteen billion, four hundred twenty million, two hundred sixty-five thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 157 210 314 420 471 628 785 942 1099 1570 1884 2198 2355 3140 3297 4396 4710 5495 6594 9420 10990 13188 16485 21980 32970 65940 6315139 12630278 18945417 25260556 31575695 37890834 44205973 63151390 75781668 88411946 94727085 126302780 132617919 176823892 189454170 221029865 265235838 378908340 442059730 530471676 663089595 884119460 991476823 1326179190 1982953646 2652358380 2974430469 3965907292 4957384115 5948860938 6940337761 9914768230 11897721876 13880675522 14872152345 19829536460 20821013283 27761351044 29744304690 34701688805 41642026566 59488609380 69403377610 83284053132 104105066415 138806755220 208210132830 416420265660