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13237340742 = 2322337864169
BaseRepresentation
bin11000101010000000…
…11100101001000110
31021011112101120202100
430111000130221012
5204102224400432
610025310052530
7646014353103
oct142500345106
937145346670
1013237340742
11568315202a
1226951aa146
13132c601302
148d80abaaa
155271d507c
hex31501ca46

13237340742 has 48 divisors (see below), whose sum is σ = 30736798560. Its totient is φ = 4106526336.

The previous prime is 13237340741. The next prime is 13237340761. The reversal of 13237340742 is 24704373231.

13237340742 is a `hidden beast` number, since 13 + 237 + 3 + 407 + 4 + 2 = 666.

It is a super-2 number, since 2×132373407422 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13237340697 and 13237340706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13237340741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 416767 + ... + 447402.

It is an arithmetic number, because the mean of its divisors is an integer number (640349970).

Almost surely, 213237340742 is an apocalyptic number.

13237340742 is an abundant number, since it is smaller than the sum of its proper divisors (17499457818).

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

13237340742 is a wasteful number, since it uses less digits than its factorization.

13237340742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864237 (or 864234 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 36.

The spelling of 13237340742 in words is "thirteen billion, two hundred thirty-seven million, three hundred forty thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 18 23 37 46 69 74 111 138 207 222 333 414 666 851 1702 2553 5106 7659 15318 864169 1728338 2592507 5185014 7777521 15555042 19875887 31974253 39751774 59627661 63948506 95922759 119255322 178882983 191845518 287768277 357765966 575536554 735407819 1470815638 2206223457 4412446914 6618670371 13237340742