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64674411603100 = 225213107941494101
BaseRepresentation
bin11101011010010001011110…
…10101000110010010011100
322110222210221221111101000121
432231020233111012102130
531434111143332244400
6345315003045404324
716423400132122045
oct1655105725062234
9273883857441017
1064674411603100
111967529a323012
1273064017096a4
132a11a037151b0
1411d83887cb8cc
157724e346821a
hex3ad22f54649c

64674411603100 has 144 divisors (see below), whose sum is σ = 152714065736736. Its totient is φ = 23631419520000.

The previous prime is 64674411603077. The next prime is 64674411603121. The reversal of 64674411603100 is 130611447646.

64674411603100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×646744116031002 (a number of 28 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 (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130646050 + ... + 131140150.

It is an arithmetic number, because the mean of its divisors is an integer number (1060514345394).

Almost surely, 264674411603100 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 64674411603100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76357032868368).

64674411603100 is an abundant number, since it is smaller than the sum of its proper divisors (88039654133636).

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

64674411603100 is a wasteful number, since it uses less digits than its factorization.

64674411603100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495176 (or 495169 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 43.

The spelling of 64674411603100 in words is "sixty-four trillion, six hundred seventy-four billion, four hundred eleven million, six hundred three thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 107 130 214 260 325 428 535 650 941 1070 1300 1391 1882 2140 2675 2782 3764 4705 5350 5564 6955 9410 10700 12233 13910 18820 23525 24466 27820 34775 47050 48932 61165 69550 94100 100687 122330 139100 201374 244660 305825 402748 494101 503435 611650 988202 1006870 1223300 1308931 1976404 2013740 2470505 2517175 2617862 4941010 5034350 5235724 6423313 6544655 9882020 10068700 12352525 12846626 13089310 24705050 25693252 26178620 32116565 32723275 49410100 52868807 64233130 65446550 105737614 128466260 130893100 160582825 211475228 264344035 321165650 464949041 528688070 642331300 687294491 929898082 1057376140 1321720175 1374588982 1859796164 2324745205 2643440350 2749177964 3436472455 4649490410 5286880700 6044337533 6872944910 9298980820 11623726025 12088675066 13745889820 17182362275 23247452050 24177350132 30221687665 34364724550 46494904100 49749547387 60443375330 68729449100 99499094774 120886750660 151108438325 198998189548 248747736935 302216876650 497495473870 604433753300 646744116031 994990947740 1243738684675 1293488232062 2487477369350 2586976464124 3233720580155 4974954738700 6467441160310 12934882320620 16168602900775 32337205801550 64674411603100