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112540157046 = 232171932417907
BaseRepresentation
bin110100011001111101…
…0101000010001110110
3101202111010011022202200
41220303322220101312
53320440240011141
6123411130045330
711062564360062
oct1506372502166
9352433138680
10112540157046
1143800a91759
1219989579846
13a7c6849505
1456386c8aa2
152dda106ab6
hex1a33ea8476

112540157046 has 96 divisors (see below), whose sum is σ = 260627878368. Its totient is φ = 34973614080.

The previous prime is 112540157011. The next prime is 112540157053. The reversal of 112540157046 is 640751045211.

112540157046 is a `hidden beast` number, since 1 + 1 + 2 + 5 + 40 + 1 + 570 + 46 = 666.

It is a super-2 number, since 2×1125401570462 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 112540157046.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14229025 + ... + 14236931.

It is an arithmetic number, because the mean of its divisors is an integer number (2714873733).

Almost surely, 2112540157046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112540157046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130313939184).

112540157046 is an abundant number, since it is smaller than the sum of its proper divisors (148087721322).

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

112540157046 is a wasteful number, since it uses less digits than its factorization.

112540157046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8366 (or 8363 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 112540157046 in words is "one hundred twelve billion, five hundred forty million, one hundred fifty-seven thousand, forty-six".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 193 241 306 386 482 579 723 1158 1446 1737 2169 3281 3474 4097 4338 6562 7907 8194 9843 12291 15814 19686 23721 24582 29529 36873 46513 47442 59058 71163 73746 93026 134419 139539 142326 268838 279078 403257 418617 790721 806514 837234 1209771 1526051 1581442 1905587 2372163 2419542 3052102 3811174 4578153 4744326 5716761 7116489 9156306 11433522 13734459 14232978 17150283 25942867 27468918 32394979 34300566 51885734 64789958 77828601 97184937 155657202 194369874 233485803 291554811 367778291 466971606 583109622 735556582 1103334873 2206669746 3310004619 6252230947 6620009238 12504461894 18756692841 37513385682 56270078523 112540157046