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437061286466420 = 225711286199198193
BaseRepresentation
bin110001101100000010100001…
…0101110011001001101110100
32010022111122120112012220220212
41203120011002232121031310
5424241303003313411140
64145315103321244552
7161026431055062530
oct14330050256311564
92108448515186825
10437061286466420
11117296718056340
12410294a4633758
13159b491941c725
1479cdc444babc0
15357de78c74765
hex18d8142b99374

437061286466420 has 96 divisors (see below), whose sum is σ = 1144705892311296. Its totient is φ = 136179277977600.

The previous prime is 437061286466411. The next prime is 437061286466503. The reversal of 437061286466420 is 24664682160734.

It is a self number, because there is not a number n which added to its sum of digits gives 437061286466420.

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, 45193157 + ... + 54005036.

It is an arithmetic number, because the mean of its divisors is an integer number (11924019711576).

Almost surely, 2437061286466420 is an apocalyptic number.

It is an amenable number.

437061286466420 is an abundant number, since it is smaller than the sum of its proper divisors (707644605844876).

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

437061286466420 is a wasteful number, since it uses less digits than its factorization.

437061286466420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99201081 (or 99201079 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 59.

The spelling of 437061286466420 in words is "four hundred thirty-seven trillion, sixty-one billion, two hundred eighty-six million, four hundred sixty-six thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1540 2861 5722 11444 14305 20027 28610 31471 40054 57220 62942 80108 100135 125884 157355 200270 220297 314710 400540 440594 629420 881188 1101485 2202970 4405940 99198193 198396386 396792772 495990965 694387351 991981930 1091180123 1388774702 1983963860 2182360246 2777549404 3471936755 4364720492 5455900615 6943873510 7638260861 10911801230 13887747020 15276521722 21823602460 30553043444 38191304305 76382608610 152765217220 283806030173 567612060346 1135224120692 1419030150865 1986642211211 2838060301730 3121866331903 3973284422422 5676120603460 6243732663806 7946568844844 9933211056055 12487465327612 15609331659515 19866422112110 21853064323321 31218663319030 39732844224220 43706128646642 62437326638060 87412257293284 109265321616605 218530643233210 437061286466420