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48154382280963 = 3277989199354547
BaseRepresentation
bin10101111001011110100001…
…10110011010100100000011
320022111111212200210212101200
422330233100312122210003
522302430133330442323
6250225452352232243
713100016324563460
oct1274572066324403
9208444780725350
1048154382280963
1114386182462a62
12549878523b683
1320b3c28608c1a
14bc6982530667
1558791534a443
hex2bcbd0d9a903

48154382280963 has 96 divisors (see below), whose sum is σ = 81446011545600. Its totient is φ = 26849241289728.

The previous prime is 48154382280941. The next prime is 48154382280997. The reversal of 48154382280963 is 36908228345184.

48154382280963 is a `hidden beast` number, since 4 + 8 + 1 + 543 + 8 + 2 + 2 + 80 + 9 + 6 + 3 = 666.

48154382280963 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 48154382280963 - 214 = 48154382264579 is a prime.

It is a super-2 number, since 2×481543822809632 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 48154382280963.

It is not an unprimeable number, because it can be changed into a prime (48154382284963) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 882778056 + ... + 882832602.

It is an arithmetic number, because the mean of its divisors is an integer number (848395953600).

Almost surely, 248154382280963 is an apocalyptic number.

48154382280963 is a deficient number, since it is larger than the sum of its proper divisors (33291629264637).

48154382280963 is a wasteful number, since it uses less digits than its factorization.

48154382280963 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56721 (or 56718 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 63.

The spelling of 48154382280963 in words is "forty-eight trillion, one hundred fifty-four billion, three hundred eighty-two million, two hundred eighty thousand, nine hundred sixty-three".

Divisors: 1 3 7 9 21 63 79 89 237 267 553 623 711 801 1659 1869 1993 4977 5607 5979 7031 13951 17937 21093 41853 49217 54547 63279 125559 147651 157447 163641 177377 381829 442953 472341 490923 532131 1102129 1145487 1241639 1417023 1596393 3306387 3436461 3724917 4309213 4854683 9919161 11174751 12927639 14012783 14564049 30164491 33982781 38782917 42038349 43692147 90493473 98089481 101948343 108712171 126115047 271480419 294268443 305845029 326136513 383519957 760985197 882805329 978409539 1150559871 2282955591 2684639699 3451679613 6848866773 8053919097 8588261509 9675383219 24161757291 25764784527 29026149657 60117830563 67727682533 77294353581 87078448971 180353491689 203183047599 541060475067 609549142797 764355274301 2293065822903 5350486920107 6879197468709 16051460760321 48154382280963