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42743460792 = 2334726113217
BaseRepresentation
bin100111110011101101…
…010111001110111000
311002022212100210012110
4213303231113032320
51200014311221132
631345220412320
73042136264524
oct476355271670
9132285323173
1042743460792
111714462980a
12834a8470a0
134052574b46
1420d6ab4d84
1511a27a41cc
hex9f3b573b8

42743460792 has 96 divisors (see below), whose sum is σ = 110978856720. Its totient is φ = 13715036160.

The previous prime is 42743460737. The next prime is 42743460803. The reversal of 42743460792 is 29706434724.

It is a happy number.

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, 3227368 + ... + 3240584.

Almost surely, 242743460792 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 42743460792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55489428360).

42743460792 is an abundant number, since it is smaller than the sum of its proper divisors (68235395928).

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

42743460792 is a wasteful number, since it uses less digits than its factorization.

42743460792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13381 (or 13330 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 48.

The spelling of 42743460792 in words is "forty-two billion, seven hundred forty-three million, four hundred sixty thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 24 47 61 94 122 141 183 188 244 282 366 376 488 564 732 1128 1464 2209 2867 4418 5734 6627 8601 8836 11468 13217 13254 17202 17672 22936 26434 26508 34404 39651 52868 53016 68808 79302 105736 134749 158604 269498 317208 404247 538996 621199 806237 808494 1077992 1242398 1612474 1616988 1863597 2418711 2484796 3224948 3233976 3727194 4837422 4969592 6449896 7454388 9674844 14908776 19349688 29196353 37893139 58392706 75786278 87589059 113679417 116785412 151572556 175178118 227358834 233570824 303145112 350356236 454717668 700712472 909435336 1780977533 3561955066 5342932599 7123910132 10685865198 14247820264 21371730396 42743460792