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109426412970 = 23457110317497
BaseRepresentation
bin110010111101001010…
…0101000110110101010
3101110110010002201220000
41211322110220312222
53243101130203340
6122134135443430
710622455110030
oct1457224506652
9343403081800
10109426412970
11424533a2746
121925a826576
13a41b71b6b4
145420d54550
152ca6a95d30
hex197a528daa

109426412970 has 160 divisors (see below), whose sum is σ = 336593207808. Its totient is φ = 24987647232.

The previous prime is 109426412951. The next prime is 109426413001. The reversal of 109426412970 is 79214624901.

109426412970 is a `hidden beast` number, since 10 + 94 + 264 + 1 + 297 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 79 ways as a sum of consecutive naturals, for example, 6245262 + ... + 6262758.

Almost surely, 2109426412970 is an apocalyptic number.

109426412970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 109426412970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168296603904).

109426412970 is an abundant number, since it is smaller than the sum of its proper divisors (227166794838).

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

109426412970 is a wasteful number, since it uses less digits than its factorization.

109426412970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18626 (or 18617 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 109426412970 in words is "one hundred nine billion, four hundred twenty-six million, four hundred twelve thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 81 90 105 126 135 162 189 210 270 315 378 405 567 630 810 945 1103 1134 1890 2206 2835 3309 5515 5670 6618 7721 9927 11030 15442 16545 17497 19854 23163 29781 33090 34994 38605 46326 49635 52491 59562 69489 77210 87485 89343 99270 104982 115815 122479 138978 148905 157473 174970 178686 208467 231630 244958 262455 297810 314946 347445 367437 416934 446715 472419 524910 612395 625401 694890 734874 787365 893430 944838 1042335 1102311 1224790 1250802 1417257 1574730 1837185 2084670 2204622 2362095 2834514 3127005 3306933 3674370 4724190 5511555 6254010 6613866 7086285 9920799 11023110 14172570 16534665 19299191 19841598 33069330 38598382 49603995 57897573 96495955 99207990 115795146 135094337 173692719 192991910 270188674 289487865 347385438 405283011 521078157 578975730 675471685 810566022 868463595 1042156314 1215849033 1350943370 1563234471 1736927190 2026415055 2431698066 2605390785 3126468942 3647547099 4052830110 5210781570 6079245165 7295094198 7816172355 10942641297 12158490330 15632344710 18237735495 21885282594 36475470990 54713206485 109426412970