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112454742246 = 237111737386977
BaseRepresentation
bin110100010111011010…
…0110011000011100110
3101202021011102210200120
41220232310303003212
53320301403222441
6123354435222410
711060506352250
oct1505664630346
9352234383616
10112454742246
1143767852310
1219964a47a06
13a7b1c41602
14562b212cd0
152dd2883966
hex1a2ed330e6

112454742246 has 128 divisors (see below), whose sum is σ = 304926280704. Its totient is φ = 26747781120.

The previous prime is 112454742227. The next prime is 112454742259. The reversal of 112454742246 is 642247454211.

It is a happy number.

It is a super-2 number, since 2×1124547422462 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 112454742198 and 112454742207.

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 63 ways as a sum of consecutive naturals, for example, 97110 + ... + 484086.

It is an arithmetic number, because the mean of its divisors is an integer number (2382236568).

Almost surely, 2112454742246 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112454742246, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152463140352).

112454742246 is an abundant number, since it is smaller than the sum of its proper divisors (192471538458).

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

112454742246 is a wasteful number, since it uses less digits than its factorization.

112454742246 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387054.

The product of its digits is 430080, while the sum is 42.

The spelling of 112454742246 in words is "one hundred twelve billion, four hundred fifty-four million, seven hundred forty-two thousand, two hundred forty-six".

Divisors: 1 2 3 6 7 11 14 17 21 22 33 34 37 42 51 66 74 77 102 111 119 154 187 222 231 238 259 357 374 407 462 518 561 629 714 777 814 1122 1221 1258 1309 1554 1887 2442 2618 2849 3774 3927 4403 5698 6919 7854 8547 8806 13209 13838 17094 20757 26418 41514 48433 96866 145299 290598 386977 773954 1160931 2321862 2708839 4256747 5417678 6578609 8126517 8513494 12770241 13157218 14318149 16253034 19735827 25540482 28636298 29797229 39471654 42954447 46050263 59594458 72364699 85908894 89391687 92100526 100227043 138150789 144729398 157499639 178783374 200454086 217094097 243408533 276301578 300681129 314999278 434188194 472498917 486817066 506552893 601362258 730225599 944997834 1013105786 1102497473 1460451198 1519658679 1703859731 2204994946 2677493863 3039317358 3307492419 3407719462 5111579193 5354987726 6614984838 8032481589 10223158386 16064963178 18742457041 37484914082 56227371123 112454742246