Search a number
-
+
12052011007064 = 2372335832611541
BaseRepresentation
bin1010111101100001001111…
…0101011011110001011000
31120200011100100222000111102
42233120103311123301120
53034430004304211224
641344341210250532
72352505032202430
oct257302365336130
946604310860442
1012052011007064
113927258022266
121427916126a48
13695665c8ba02
142d946b4312c0
1515d7790ee4ae
hexaf613d5bc58

12052011007064 has 64 divisors (see below), whose sum is σ = 26956127600640. Its totient is φ = 4939195155840.

The previous prime is 12052011007063. The next prime is 12052011007111. The reversal of 12052011007064 is 46070011025021.

It is a super-2 number, since 2×120520110070642 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12052011007061) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3309134 + ... + 5920674.

It is an arithmetic number, because the mean of its divisors is an integer number (421189493760).

Almost surely, 212052011007064 is an apocalyptic number.

12052011007064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12052011007064 is an abundant number, since it is smaller than the sum of its proper divisors (14904116593576).

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

12052011007064 is a wasteful number, since it uses less digits than its factorization.

12052011007064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2615160 (or 2615156 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 29.

The spelling of 12052011007064 in words is "twelve trillion, fifty-two billion, eleven million, seven thousand, sixty-four".

Divisors: 1 2 4 7 8 14 23 28 46 56 92 161 184 322 644 1288 3583 7166 14332 25081 28664 50162 82409 100324 164818 200648 329636 576863 659272 1153726 2307452 2611541 4614904 5223082 10446164 18280787 20892328 36561574 60065443 73123148 120130886 146246296 240261772 420458101 480523544 840916202 1681832404 3363664808 9357151403 18714302806 37428605612 65500059821 74857211224 131000119642 215214482269 262000239284 430428964538 524000478568 860857929076 1506501375883 1721715858152 3013002751766 6026005503532 12052011007064