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13542150744 = 23321917357221
BaseRepresentation
bin11001001110010110…
…01101001001011000
31021221202221112110200
430213023031021120
5210213242310434
610115435142200
7656405245023
oct144713151130
937852845420
1013542150744
11581a211321
12275b2a4960
13137a7c4565
149267741ba
15543d44199
hex3272cd258

13542150744 has 96 divisors (see below), whose sum is σ = 38830849200. Its totient is φ = 4251674880.

The previous prime is 13542150679. The next prime is 13542150757. The reversal of 13542150744 is 44705124531.

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

It is a junction number, because it is equal to n+sod(n) for n = 13542150699 and 13542150708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 208054 + ... + 265274.

Almost surely, 213542150744 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 13542150744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19415424600).

13542150744 is an abundant number, since it is smaller than the sum of its proper divisors (25288698456).

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

13542150744 is a wasteful number, since it uses less digits than its factorization.

13542150744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57425 (or 57418 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 13542150744 in words is "thirteen billion, five hundred forty-two million, one hundred fifty thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 173 228 342 346 456 519 684 692 1038 1368 1384 1557 2076 3114 3287 4152 6228 6574 9861 12456 13148 19722 26296 29583 39444 57221 59166 78888 114442 118332 171663 228884 236664 343326 457768 514989 686652 1029978 1087199 1373304 2059956 2174398 3261597 4119912 4348796 6523194 8697592 9784791 9899233 13046388 19569582 19798466 26092776 29697699 39139164 39596932 59395398 78278328 79193864 89093097 118790796 178186194 188085427 237581592 356372388 376170854 564256281 712744776 752341708 1128512562 1504683416 1692768843 2257025124 3385537686 4514050248 6771075372 13542150744