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420219560537190 = 232523499406822883
BaseRepresentation
bin101111110001011111111110…
…1101000100010110001100110
32001002212121010200121112220100
41133202333331220202301212
5420034334124444142230
64045422111233244530
7154340601306513411
oct13742777550426146
92032777120545810
10420219560537190
11111993129904a47
123b169448703746
13150626c447aacb
1475aaa41754b78
15338ad1d7e8660
hex17e2ffda22c66

420219560537190 has 96 divisors (see below), whose sum is σ = 1142358658272000. Its totient is φ = 106971635884608.

The previous prime is 420219560537123. The next prime is 420219560537263. The reversal of 420219560537190 is 91735065912024.

420219560537190 is a `hidden beast` number, since 4 + 2 + 0 + 2 + 1 + 9 + 560 + 5 + 3 + 71 + 9 + 0 = 666.

It is a super-2 number, since 2×4202195605371902 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 202378512 + ... + 204444371.

It is an arithmetic number, because the mean of its divisors is an integer number (11899569357000).

Almost surely, 2420219560537190 is an apocalyptic number.

420219560537190 is an abundant number, since it is smaller than the sum of its proper divisors (722139097734810).

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

420219560537190 is a wasteful number, since it uses less digits than its factorization.

420219560537190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406823418 (or 406823415 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 420219560537190 in words is "four hundred twenty trillion, two hundred nineteen billion, five hundred sixty million, five hundred thirty-seven thousand, one hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 115 138 207 230 345 414 499 690 998 1035 1497 2070 2495 2994 4491 4990 7485 8982 11477 14970 22455 22954 34431 44910 57385 68862 103293 114770 172155 206586 344310 516465 1032930 406822883 813645766 1220468649 2034114415 2440937298 3661405947 4068228830 6102343245 7322811894 9356926309 12204686490 18307029735 18713852618 28070778927 36614059470 46784631545 56141557854 84212336781 93569263090 140353894635 168424673562 203004618617 280707789270 406009237234 421061683905 609013855851 842123367810 1015023093085 1218027711702 1827041567553 2030046186170 3045069279255 3654083135106 4669106228191 6090138558510 9135207837765 9338212456382 14007318684573 18270415675530 23345531140955 28014637369146 42021956053719 46691062281910 70036593422865 84043912107438 140073186845730 210109780268595 420219560537190