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6421692257874 = 23219233443181913
BaseRepresentation
bin101110101110010101010…
…1011111001011001010010
3211201220111202220210112100
41131130222223321121102
51320203111204222444
621354030143341230
71231644343364415
oct135345253713122
924656452823470
106421692257874
1120564739591a3
128786978b1816
13377741b4138a
14182b50d05b7c
15b2099e71e69
hex5d72aaf9652

6421692257874 has 96 divisors (see below), whose sum is σ = 14742106816320. Its totient is φ = 2014630285824.

The previous prime is 6421692257861. The next prime is 6421692257927. The reversal of 6421692257874 is 4787522961246.

6421692257874 is a `hidden beast` number, since 6 + 4 + 216 + 92 + 257 + 87 + 4 = 666.

It is a super-2 number, since 2×64216922578742 (a number of 26 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35209942 + ... + 35391854.

It is an arithmetic number, because the mean of its divisors is an integer number (153563612670).

Almost surely, 26421692257874 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6421692257874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7371053408160).

6421692257874 is an abundant number, since it is smaller than the sum of its proper divisors (8320414558446).

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

6421692257874 is a wasteful number, since it uses less digits than its factorization.

6421692257874 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182616 (or 182613 counting only the distinct ones).

The product of its digits is 81285120, while the sum is 63.

The spelling of 6421692257874 in words is "six trillion, four hundred twenty-one billion, six hundred ninety-two million, two hundred fifty-seven thousand, eight hundred seventy-four".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 233 342 443 466 699 886 1329 1398 2097 2658 3987 4194 4427 7974 8417 8854 13281 16834 25251 26562 39843 50502 75753 79686 103219 151506 181913 206438 309657 363826 545739 619314 928971 1091478 1637217 1857942 1961161 3274434 3456347 3922322 5883483 6912694 10369041 11766966 17650449 20738082 31107123 35300898 42385729 62214246 80587459 84771458 127157187 161174918 241762377 254314374 381471561 483524754 725287131 762943122 805328851 1450574262 1531161721 1610657702 2415986553 3062323442 4593485163 4831973106 7247959659 9186970326 13780455489 14495919318 18776877947 27560910978 37553755894 56330633841 112661267682 168991901523 337983803046 356760680993 713521361986 1070282042979 2140564085958 3210846128937 6421692257874