Search a number
-
+
420256645872 = 24379111372957
BaseRepresentation
bin1100001110110010011…
…11111000001011110000
31111011202102000121012020
412013121033320023300
523341141200131442
6521021354231440
742235231356420
oct6073117701360
91434672017166
10420256645872
11152258a14248
1269547125580
133082624462b
14164aa5b4480
15ade9e5c9ec
hex61d93f82f0

420256645872 has 80 divisors (see below), whose sum is σ = 1242120594432. Its totient is φ = 119941436160.

The previous prime is 420256645849. The next prime is 420256645943. The reversal of 420256645872 is 278546652024.

It is a super-2 number, since 2×4202566458722 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 380383 + ... + 992574.

Almost surely, 2420256645872 is an apocalyptic number.

420256645872 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

420256645872 is an abundant number, since it is smaller than the sum of its proper divisors (821863948560).

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

420256645872 is a wasteful number, since it uses less digits than its factorization.

420256645872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1373886 (or 1373880 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 51.

The spelling of 420256645872 in words is "four hundred twenty billion, two hundred fifty-six million, six hundred forty-five thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 911 1822 2733 3644 5466 6377 7288 10932 12754 14576 19131 21864 25508 38262 43728 51016 76524 102032 153048 306096 1372957 2745914 4118871 5491828 8237742 9610699 10983656 16475484 19221398 21967312 28832097 32950968 38442796 57664194 65901936 76885592 115328388 153771184 230656776 461313552 1250763827 2501527654 3752291481 5003055308 7504582962 8755346789 10006110616 15009165924 17510693578 20012221232 26266040367 30018331848 35021387156 52532080734 60036663696 70042774312 105064161468 140085548624 210128322936 420256645872