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138634562820432 = 24371536126860417
BaseRepresentation
bin11111100001011001011111…
…110111101101100101010000
3200011212100001001021221102210
4133201121133313231211100
5121132342041040223212
61210503501113312120
741126005463540250
oct3741313767554520
9604770031257383
10138634562820432
114019a651575568
1213670382705640
135c4824c59c083
142633d3d109960
15110630a85253c
hex7e165fded950

138634562820432 has 80 divisors (see below), whose sum is σ = 409328703385472. Its totient is φ = 39607295016960.

The previous prime is 138634562820361. The next prime is 138634562820433. The reversal of 138634562820432 is 234028265436831.

It is a super-2 number, since 2×1386345628204322 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138634562820433) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8268913 + ... + 18591504.

Almost surely, 2138634562820432 is an apocalyptic number.

138634562820432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

138634562820432 is an abundant number, since it is smaller than the sum of its proper divisors (270694140565040).

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

138634562820432 is a wasteful number, since it uses less digits than its factorization.

138634562820432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26875796 (or 26875790 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 57.

The spelling of 138634562820432 in words is "one hundred thirty-eight trillion, six hundred thirty-four billion, five hundred sixty-two million, eight hundred twenty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 15361 30722 46083 61444 92166 107527 122888 184332 215054 245776 322581 368664 430108 645162 737328 860216 1290324 1720432 2580648 5161296 26860417 53720834 80581251 107441668 161162502 188022919 214883336 322325004 376045838 429766672 564068757 644650008 752091676 1128137514 1289300016 1504183352 2256275028 3008366704 4512550056 9025100112 412602865537 825205731074 1237808596611 1650411462148 2475617193222 2888220058759 3300822924296 4951234386444 5776440117518 6601645848592 8664660176277 9902468772888 11552880235036 17329320352554 19804937545776 23105760470072 34658640705108 46211520940144 69317281410216 138634562820432