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163012153226442 = 2313194571282118773
BaseRepresentation
bin100101000100001000111001…
…011111001011010011001010
3210101011210212020102012012220
4211010020321133023103022
5132331242342211221232
61334410425510314510
746223145056230122
oct4504107137132312
9711153766365186
10163012153226442
1147a3907a861953
1216348a20358a36
136cc5c98347480
142c37b8a547c82
1513ca4c0a0242c
hex9442397cb4ca

163012153226442 has 128 divisors (see below), whose sum is σ = 370439544464640. Its totient is φ = 47407511623680.

The previous prime is 163012153226437. The next prime is 163012153226471. The reversal of 163012153226442 is 244622351210361.

163012153226442 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 163012153226394 and 163012153226403.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8683320568 + ... + 8683339340.

It is an arithmetic number, because the mean of its divisors is an integer number (2894058941130).

Almost surely, 2163012153226442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 163012153226442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185219772232320).

163012153226442 is an abundant number, since it is smaller than the sum of its proper divisors (207427391238198).

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

163012153226442 is a wasteful number, since it uses less digits than its factorization.

163012153226442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32088.

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 163012153226442 in words is "one hundred sixty-three trillion, twelve billion, one hundred fifty-three million, two hundred twenty-six thousand, four hundred forty-two".

Divisors: 1 2 3 6 13 19 26 38 39 57 78 114 247 457 494 741 914 1371 1482 2742 5941 8683 11882 12821 17366 17823 18773 25642 26049 35646 37546 38463 52098 56319 76926 112638 112879 166673 225758 243599 244049 333346 338637 356687 487198 488098 500019 677274 713374 730797 732147 1000038 1070061 1461594 1464294 2140122 3166787 4636931 5859197 6333574 8579261 9273862 9500361 11718394 13910793 17158522 17577591 19000722 25737783 27821586 35155182 51475566 76169561 111324743 111530393 152339122 163005959 222649486 223060786 228508683 240688633 326011918 333974229 334591179 457017366 481377266 489017877 667948458 669182358 722065899 978035754 1444131798 1447221659 2119077467 2894443318 3128952229 4238154934 4341664977 4573084027 6257904458 6357232401 8683329954 9146168054 9386856687 12714464802 13719252081 18773713374 27438504162 59450092351 109994705281 118900184702 178350277053 219989410562 329984115843 356700554106 659968231686 1429931168653 2089899400339 2859862337306 4179798800678 4289793505959 6269698201017 8579587011918 12539396402034 27168692204407 54337384408814 81506076613221 163012153226442