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48266400269664 = 2533458871217423
BaseRepresentation
bin10101111100101111001011…
…01001001000010101100000
320022220020000102102021212000
422332113211221020111200
522311244041432112124
6250353140030404000
713111063252020063
oct1276274551102540
9208806012367760
1048266400269664
1114419735716925
1254b6427960600
1320c166ac0ac85
14bcc16b7328da
1558a7be6aa6c9
hex2be5e5a48560

48266400269664 has 96 divisors (see below), whose sum is σ = 140780184330240. Its totient is φ = 16088436256896.

The previous prime is 48266400269651. The next prime is 48266400269687. The reversal of 48266400269664 is 46696200466284.

48266400269664 is a `hidden beast` number, since 4 + 8 + 2 + 66 + 400 + 26 + 96 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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, 39037657 + ... + 40255079.

It is an arithmetic number, because the mean of its divisors is an integer number (1466460253440).

Almost surely, 248266400269664 is an apocalyptic number.

It is an amenable number.

48266400269664 is an abundant number, since it is smaller than the sum of its proper divisors (92513784060576).

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

48266400269664 is a wasteful number, since it uses less digits than its factorization.

48266400269664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1263329 (or 1263315 counting only the distinct ones).

The product of its (nonzero) digits is 143327232, while the sum is 63.

The spelling of 48266400269664 in words is "forty-eight trillion, two hundred sixty-six billion, four hundred million, two hundred sixty-nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 45887 91774 137661 183548 275322 367096 412983 550644 734192 825966 1101288 1217423 1238949 1468384 1651932 2202576 2434846 2477898 3303864 3652269 4405152 4869692 4955796 6607728 7304538 9739384 9911592 10956807 13215456 14609076 19478768 19823184 21913614 29218152 32870421 38957536 39646368 43827228 58436304 65740842 87654456 116872608 131481684 175308912 262963368 350617824 525926736 1051853472 55863889201 111727778402 167591667603 223455556804 335183335206 446911113608 502775002809 670366670412 893822227216 1005550005618 1340733340824 1508325008427 1787644454432 2011100011236 2681466681648 3016650016854 4022200022472 5362933363296 6033300033708 8044400044944 12066600067416 16088800089888 24133200134832 48266400269664