Search a number
-
+
2451361635264 = 26342972971261
BaseRepresentation
bin100011101011000000100…
…010100001101111000000
322200100101121101122000110
4203223000202201233000
5310130342034312024
65114050123151320
7342051012046653
oct43530042415700
98610347348013
102451361635264
11865686810a33
12337110075540
1314a215a7a769
148690a14989a
1543b73a83629
hex23ac08a1bc0

2451361635264 has 56 divisors (see below), whose sum is σ = 6487405910608. Its totient is φ = 816930109440.

The previous prime is 2451361635263. The next prime is 2451361635271. The reversal of 2451361635264 is 4625361631542.

It is a super-4 number, since 4×24513616352644 (a number of 51 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2451361635263) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 660607 + ... + 2310654.

It is an arithmetic number, because the mean of its divisors is an integer number (115846534118).

Almost surely, 22451361635264 is an apocalyptic number.

2451361635264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2451361635264 is an abundant number, since it is smaller than the sum of its proper divisors (4036044275344).

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

2451361635264 is a wasteful number, since it uses less digits than its factorization.

2451361635264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2975573 (or 2975563 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 48.

The spelling of 2451361635264 in words is "two trillion, four hundred fifty-one billion, three hundred sixty-one million, six hundred thirty-five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 4297 8594 12891 17188 25782 34376 51564 68752 103128 137504 206256 275008 412512 825024 2971261 5942522 8913783 11885044 17827566 23770088 35655132 47540176 71310264 95080352 142620528 190160704 285241056 570482112 12767508517 25535017034 38302525551 51070034068 76605051102 102140068136 153210102204 204280136272 306420204408 408560272544 612840408816 817120545088 1225680817632 2451361635264