Search a number
-
+
54635023398648 = 23371129564406601
BaseRepresentation
bin11000110110000101101010…
…01010010111011011111000
321011110001112201102000102010
430123002311022113123320
524130120011442224043
6312110552214405520
714336151545311230
oct1433026512273370
9234401481360363
1054635023398648
1116454646416010
1261647729608a0
1324640a31a2c24
14d6c4c6468cc0
1564b2b05db133
hex31b0b52976f8

54635023398648 has 64 divisors (see below), whose sum is σ = 170290982027520. Its totient is φ = 14190915168000.

The previous prime is 54635023398563. The next prime is 54635023398649. The reversal of 54635023398648 is 84689332053645.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54635023398649) 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, 14782201453 + ... + 14782205148.

It is an arithmetic number, because the mean of its divisors is an integer number (2660796594180).

Almost surely, 254635023398648 is an apocalyptic number.

It is an amenable number.

54635023398648 is an abundant number, since it is smaller than the sum of its proper divisors (115655958628872).

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

54635023398648 is a wasteful number, since it uses less digits than its factorization.

54635023398648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29564406628 (or 29564406624 counting only the distinct ones).

The product of its (nonzero) digits is 447897600, while the sum is 66.

The spelling of 54635023398648 in words is "fifty-four trillion, six hundred thirty-five billion, twenty-three million, three hundred ninety-eight thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 462 616 924 1848 29564406601 59128813202 88693219803 118257626404 177386439606 206950846207 236515252808 325208472611 354772879212 413901692414 620852538621 650416945222 709545758424 827803384828 975625417833 1241705077242 1300833890444 1655606769656 1951250835666 2276459308277 2483410154484 2601667780888 3902501671332 4552918616554 4966820308968 6829377924831 7805003342664 9105837233108 13658755849662 18211674466216 27317511699324 54635023398648