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401687556138 = 23311911742307
BaseRepresentation
bin1011101100001100111…
…00011011000000101010
31102101211022000002211000
411312012130123000222
523040124003244023
6504311022215430
741010122614521
oct5660634330052
91371738002730
10401687556138
1114539a1762a0
1265a24424576
132bb5714b87b
14156283694b8
15a6aeb40243
hex5d8671b02a

401687556138 has 64 divisors (see below), whose sum is σ = 974858250240. Its totient is φ = 121589722800.

The previous prime is 401687556121. The next prime is 401687556157. The reversal of 401687556138 is 831655786104.

It is a happy number.

401687556138 is a `hidden beast` number, since 4 + 0 + 1 + 6 + 8 + 75 + 561 + 3 + 8 = 666.

It is a super-2 number, since 2×4016875561382 (a number of 24 digits) contains 22 as substring.

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

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, 169981 + ... + 912287.

It is an arithmetic number, because the mean of its divisors is an integer number (15232160160).

Almost surely, 2401687556138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401687556138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487429125120).

401687556138 is an abundant number, since it is smaller than the sum of its proper divisors (573170694102).

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

401687556138 is a wasteful number, since it uses less digits than its factorization.

401687556138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 743240 (or 743234 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 401687556138 in words is "four hundred one billion, six hundred eighty-seven million, five hundred fifty-six thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 911 1822 2733 5466 8199 10021 16398 20042 24597 30063 49194 60126 90189 180378 270567 541134 742307 1484614 2226921 4453842 6680763 8165377 13361526 16330754 20042289 24496131 40084578 48992262 73488393 146976786 220465179 440930358 676241677 1352483354 2028725031 4057450062 6086175093 7438658447 12172350186 14877316894 18258525279 22315975341 36517050558 44631950682 66947926023 133895852046 200843778069 401687556138