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425004270840 = 23335701561373
BaseRepresentation
bin1100010111101000011…
…10101000010011111000
31111122000021111221022000
412023310032220103320
523430402043131330
6523124432301000
742464000460552
oct6136416502370
91448007457260
10425004270840
11154274916146
126a4510a1760
1331101a0b786
14167dad3c4d2
15b0c6b61560
hex62f43a84f8

425004270840 has 128 divisors (see below), whose sum is σ = 1418704372800. Its totient is φ = 113172595200.

The previous prime is 425004270833. The next prime is 425004270851. The reversal of 425004270840 is 48072400524.

425004270840 is a `hidden beast` number, since 4 + 2 + 500 + 4 + 2 + 70 + 84 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 425004270795 and 425004270804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 476394 + ... + 1037766.

Almost surely, 2425004270840 is an apocalyptic number.

425004270840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 425004270840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709352186400).

425004270840 is an abundant number, since it is smaller than the sum of its proper divisors (993700101960).

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

425004270840 is a wasteful number, since it uses less digits than its factorization.

425004270840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562094 (or 562084 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The spelling of 425004270840 in words is "four hundred twenty-five billion, four million, two hundred seventy thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 701 1080 1402 2103 2804 3505 4206 5608 6309 7010 8412 10515 12618 14020 16824 18927 21030 25236 28040 31545 37854 42060 50472 63090 75708 84120 94635 126180 151416 189270 252360 378540 561373 757080 1122746 1684119 2245492 2806865 3368238 4490984 5052357 5613730 6736476 8420595 10104714 11227460 13472952 15157071 16841190 20209428 22454920 25261785 30314142 33682380 40418856 50523570 60628284 67364760 75785355 101047140 121256568 151570710 202094280 303141420 393522473 606282840 787044946 1180567419 1574089892 1967612365 2361134838 3148179784 3541702257 3935224730 4722269676 5902837095 7083404514 7870449460 9444539352 10625106771 11805674190 14166809028 15740898920 17708511285 21250213542 23611348380 28333618056 35417022570 42500427084 47222696760 53125533855 70834045140 85000854168 106251067710 141668090280 212502135420 425004270840