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112734341632 = 2911187310687
BaseRepresentation
bin110100011111101111…
…1011000101000000000
3101202222122112220221101
41220333133120220000
53321334442413012
6123442304104144
711100443043643
oct1507737305000
9352878486841
10112734341632
11438a0662490
1219a22605054
13a827b48833
1456563d5a5a
152dec1b2d57
hex1a3f7d8a00

112734341632 has 80 divisors (see below), whose sum is σ = 245879834112. Its totient is φ = 51210731520.

The previous prime is 112734341617. The next prime is 112734341651. The reversal of 112734341632 is 236143437211.

It is a junction number, because it is equal to n+sod(n) for n = 112734341591 and 112734341600.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10543393 + ... + 10554079.

Almost surely, 2112734341632 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 112734341632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122939917056).

112734341632 is an abundant number, since it is smaller than the sum of its proper divisors (133145492480).

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

112734341632 is a wasteful number, since it uses less digits than its factorization.

112734341632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12589 (or 12573 counting only the distinct ones).

The product of its digits is 72576, while the sum is 37.

Adding to 112734341632 its reverse (236143437211), we get a palindrome (348877778843).

The spelling of 112734341632 in words is "one hundred twelve billion, seven hundred thirty-four million, three hundred forty-one thousand, six hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 704 1408 1873 2816 3746 5632 7492 10687 14984 20603 21374 29968 41206 42748 59936 82412 85496 117557 119872 164824 170992 235114 239744 329648 341984 470228 479488 659296 683968 940456 958976 1318592 1367936 1880912 2637184 2735872 3761824 5274368 5471744 7523648 10548736 15047296 20016751 30094592 40033502 60189184 80067004 160134008 220184261 320268016 440368522 640536032 880737044 1281072064 1761474088 2562144128 3522948176 5124288256 7045896352 10248576512 14091792704 28183585408 56367170816 112734341632