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23742604404 = 22322353896079
BaseRepresentation
bin10110000111001010…
…110110010001110100
32021021122220021022200
4112013022312101310
5342111101320104
614523542224500
71500235544001
oct260712662164
967248807280
1023742604404
11a084099112
124727425130
132314b9765c
1412133968a8
1593e5eab39
hex5872b6474

23742604404 has 144 divisors (see below), whose sum is σ = 64534579200. Its totient is φ = 7342612992.

The previous prime is 23742604313. The next prime is 23742604423. The reversal of 23742604404 is 40440624732.

23742604404 is a `hidden beast` number, since 2 + 3 + 7 + 4 + 2 + 604 + 40 + 4 = 666.

It is a super-2 number, since 2×237426044042 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3902637 + ... + 3908715.

It is an arithmetic number, because the mean of its divisors is an integer number (448156800).

Almost surely, 223742604404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23742604404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32267289600).

23742604404 is an abundant number, since it is smaller than the sum of its proper divisors (40791974796).

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

23742604404 is a wasteful number, since it uses less digits than its factorization.

23742604404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6254 (or 6249 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 36.

The spelling of 23742604404 in words is "twenty-three billion, seven hundred forty-two million, six hundred four thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 53 69 89 92 106 138 159 178 207 212 267 276 318 356 414 477 534 636 801 828 954 1068 1219 1602 1908 2047 2438 3204 3657 4094 4717 4876 6079 6141 7314 8188 9434 10971 12158 12282 14151 14628 18237 18423 18868 21942 24316 24564 28302 36474 36846 42453 43884 54711 56604 72948 73692 84906 108491 109422 139817 169812 216982 218844 279634 322187 325473 419451 433964 541031 559268 644374 650946 838902 966561 976419 1082062 1258353 1288748 1301892 1623093 1677804 1933122 1952838 2164124 2516706 2899683 3246186 3866244 3905676 4869279 5033412 5799366 6492372 7410301 9738558 11598732 12443713 14820602 19477116 22230903 24887426 28674643 29641204 37331139 44461806 49774852 57349286 66692709 74662278 86023929 88923612 111993417 114698572 133385418 149324556 172047858 223986834 258071787 266770836 344095716 447973668 516143574 659516789 1032287148 1319033578 1978550367 2638067156 3957100734 5935651101 7914201468 11871302202 23742604404