Search a number
-
+
49321978542 = 23359139111373
BaseRepresentation
bin101101111011110100…
…011010101010101110
311201022100000010001000
4231323310122222232
51302002411303132
634354101101130
73364146620544
oct557364325256
9151270003030
1049321978542
1119a0aa75541
1296859b77a6
1348604574b5
14255c677d94
15143a0b487c
hexb7bd1aaae

49321978542 has 64 divisors (see below), whose sum is σ = 112264992000. Its totient is φ = 16045586784.

The previous prime is 49321978507. The next prime is 49321978561. The reversal of 49321978542 is 24587912394.

49321978542 is a `hidden beast` number, since 4 + 9 + 3 + 2 + 1 + 97 + 8 + 542 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 387168 + ... + 498540.

It is an arithmetic number, because the mean of its divisors is an integer number (1754140500).

Almost surely, 249321978542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49321978542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56132496000).

49321978542 is an abundant number, since it is smaller than the sum of its proper divisors (62943013458).

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

49321978542 is a wasteful number, since it uses less digits than its factorization.

49321978542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111582 (or 111576 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The spelling of 49321978542 in words is "forty-nine billion, three hundred twenty-one million, nine hundred seventy-eight thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 59 118 139 177 278 354 417 531 834 1062 1251 1593 2502 3186 3753 7506 8201 16402 24603 49206 73809 111373 147618 221427 222746 334119 442854 668238 1002357 2004714 3007071 6014142 6571007 13142014 15480847 19713021 30961694 39426042 46442541 59139063 92885082 118278126 139327623 177417189 278655246 354834378 417982869 835965738 913369973 1826739946 2740109919 5480219838 8220329757 16440659514 24660989271 49321978542