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78146421373240 = 235111937252639407
BaseRepresentation
bin10001110001001011100001…
…101011111011100100111000
3101020200201120110122121111121
4101301023201223323210320
540220322332332420430
6434111545333435024
722313615112550333
oct2161134153734470
9336621513577447
1078146421373240
1122999790657230
12892137249ba74
13347b23964168c
1415424424ab61a
15907b7b29ba7a
hex4712e1afb938

78146421373240 has 128 divisors (see below), whose sum is σ = 207366426086400. Its totient is φ = 26193653614080.

The previous prime is 78146421373213. The next prime is 78146421373249. The reversal of 78146421373240 is 4237312464187.

It is a super-2 number, since 2×781464213732402 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78146421373249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126010384 + ... + 126629023.

It is an arithmetic number, because the mean of its divisors is an integer number (1620050203800).

Almost surely, 278146421373240 is an apocalyptic number.

It is an amenable number.

78146421373240 is an abundant number, since it is smaller than the sum of its proper divisors (129220004713160).

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

78146421373240 is a wasteful number, since it uses less digits than its factorization.

78146421373240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252639485 (or 252639481 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 52.

The spelling of 78146421373240 in words is "seventy-eight trillion, one hundred forty-six billion, four hundred twenty-one million, three hundred seventy-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 19 20 22 37 38 40 44 55 74 76 88 95 110 148 152 185 190 209 220 296 370 380 407 418 440 703 740 760 814 836 1045 1406 1480 1628 1672 2035 2090 2812 3256 3515 4070 4180 5624 7030 7733 8140 8360 14060 15466 16280 28120 30932 38665 61864 77330 154660 309320 252639407 505278814 1010557628 1263197035 2021115256 2526394070 2779033477 4800148733 5052788140 5558066954 9347658059 9600297466 10105576280 11116133908 13895167385 18695316118 19200594932 22232267816 24000743665 27790334770 37390632236 38401189864 46738290295 48001487330 52801636063 55580669540 74781264472 93476580590 96002974660 102824238649 105603272126 111161339080 177605503121 186953161180 192005949320 205648477298 211206544252 264008180315 355211006242 373906322360 411296954596 422413088504 514121193245 528016360630 710422012484 822593909192 888027515605 1028242386490 1056032721260 1420844024968 1776055031210 1953660534331 2056484772980 2112065442520 3552110062420 3907321068662 4112969545960 7104220124840 7814642137324 9768302671655 15629284274648 19536605343310 39073210686620 78146421373240