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612553404942 = 23353317675173
BaseRepresentation
bin10001110100111110000…
…01110011001000001110
32011120002220022002201000
420322133001303020032
540014002132424232
61145223025201130
762153434014153
oct10723701631016
92146086262630
10612553404942
11216867478526
129a872a901a6
13459c065527b
142190d59a22a
1510e01ea527c
hex8e9f07320e

612553404942 has 64 divisors (see below), whose sum is σ = 1391290551360. Its totient is φ = 199699673472.

The previous prime is 612553404941. The next prime is 612553404973. The reversal of 612553404942 is 249404355216.

612553404942 is a `hidden beast` number, since 6 + 1 + 2 + 553 + 4 + 0 + 4 + 94 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (612553404941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 569668 + ... + 1244840.

It is an arithmetic number, because the mean of its divisors is an integer number (21738914865).

Almost surely, 2612553404942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 612553404942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695645275680).

612553404942 is an abundant number, since it is smaller than the sum of its proper divisors (778737146418).

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

612553404942 is a wasteful number, since it uses less digits than its factorization.

612553404942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675554 (or 675548 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 612553404942 in words is "six hundred twelve billion, five hundred fifty-three million, four hundred four thousand, nine hundred forty-two".

Divisors: 1 2 3 6 9 18 27 53 54 106 159 317 318 477 634 951 954 1431 1902 2853 2862 5706 8559 16801 17118 33602 50403 100806 151209 302418 453627 675173 907254 1350346 2025519 4051038 6076557 12153114 18229671 35784169 36459342 71568338 107352507 214029841 214705014 322057521 428059682 642089523 644115042 966172563 1284179046 1926268569 1932345126 3852537138 5778805707 11343581573 11557611414 22687163146 34030744719 68061489438 102092234157 204184468314 306276702471 612553404942