Search a number
-
+
6245891407452 = 22319593371377773
BaseRepresentation
bin101101011100011110000…
…1000110111111001011100
3211010002201220121021121010
41122320330020313321130
51304313041200014302
621141153425135220
71213152003664044
oct132707410677134
924102656537533
106245891407452
111a9895a962274
1284a5b448a510
13363ca6168728
14178434aa0724
15ac70b22b16c
hex5ae3c237e5c

6245891407452 has 96 divisors (see below), whose sum is σ = 15647103763200. Its totient is φ = 1933201492992.

The previous prime is 6245891407451. The next prime is 6245891407489. The reversal of 6245891407452 is 2547041985426.

It is a super-2 number, since 2×62458914074522 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 6245891407392 and 6245891407401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6245891407451) 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, 3844438 + ... + 5222210.

It is an arithmetic number, because the mean of its divisors is an integer number (162990664200).

Almost surely, 26245891407452 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6245891407452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7823551881600).

6245891407452 is an abundant number, since it is smaller than the sum of its proper divisors (9401212355748).

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

6245891407452 is a wasteful number, since it uses less digits than its factorization.

6245891407452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1378195 (or 1378193 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 57.

The spelling of 6245891407452 in words is "six trillion, two hundred forty-five billion, eight hundred ninety-one million, four hundred seven thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 12 19 38 57 59 76 114 118 177 228 236 337 354 674 708 1011 1121 1348 2022 2242 3363 4044 4484 6403 6726 12806 13452 19209 19883 25612 38418 39766 59649 76836 79532 119298 238596 377777 755554 1133331 1377773 1511108 2266662 2755546 4133319 4533324 5511092 8266638 16533276 26177687 52355374 78533061 81288607 104710748 157066122 162577214 243865821 314132244 325154428 464309501 487731642 928619002 975463284 1392928503 1544483533 1857238004 2785857006 3088967066 4633450599 5571714012 6177934132 8821880519 9266901198 17643761038 18533802396 26465641557 27394260559 35287522076 52931283114 54788521118 82182781677 105862566228 109577042236 164365563354 328731126708 520490950621 1040981901242 1561472851863 2081963802484 3122945703726 6245891407452