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368010038136 = 233135577972657
BaseRepresentation
bin1010101101011110001…
…10111000101101111000
31022011220020210221010110
411112233012320231320
522012141032210021
6441021140144320
735405426466036
oct5265706705570
91264806727113
10368010038136
11132088088594
125b3a59980a0
132891ac04c20
1413b51753556
15988d241476
hex55af1b8b78

368010038136 has 128 divisors (see below), whose sum is σ = 994194492480. Its totient is φ = 112846258176.

The previous prime is 368010038131. The next prime is 368010038147. The reversal of 368010038136 is 631830010863.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 368010038094 and 368010038103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (368010038131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 138504520 + ... + 138507176.

Almost surely, 2368010038136 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 368010038136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497097246240).

368010038136 is an abundant number, since it is smaller than the sum of its proper divisors (626184454344).

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

368010038136 is a wasteful number, since it uses less digits than its factorization.

368010038136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4033 (or 4029 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

Adding to 368010038136 its reverse (631830010863), we get a palindrome (999840048999).

The spelling of 368010038136 in words is "three hundred sixty-eight billion, ten million, thirty-eight thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 557 797 1114 1594 1671 2228 2391 2657 3188 3342 4456 4782 5314 6376 6684 7241 7971 9564 10361 10628 13368 14482 15942 19128 20722 21256 21723 28964 31083 31884 34541 41444 43446 57928 62166 63768 69082 82888 86892 103623 124332 138164 173784 207246 248664 276328 414492 443929 828984 887858 1331787 1479949 1775716 2117629 2663574 2959898 3551432 4235258 4439847 5327148 5771077 5919796 6352887 8470516 8879694 10654296 11542154 11839592 12705774 16941032 17313231 17759388 19239337 23084308 25411548 27529177 34626462 35518776 38478674 46168616 50823096 55058354 57718011 69252924 76957348 82587531 110116708 115436022 138505848 153914696 165175062 220233416 230872044 330350124 461744088 660700248 1179519353 2359038706 3538558059 4718077412 7077116118 9436154824 14154232236 15333751589 28308464472 30667503178 46001254767 61335006356 92002509534 122670012712 184005019068 368010038136