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70840106288 = 24747109331373
BaseRepresentation
bin100000111111001100…
…1100011110100110000
320202211222011021001022
41001332121203310300
52130040031400123
652313221155012
75055324653060
oct1017631436460
9222758137038
1070840106288
1128052436396
121189025ba68
1368ac500573
1436004213a0
151c9925b1c8
hex107e663d30

70840106288 has 160 divisors (see below), whose sum is σ = 162590545920. Its totient is φ = 29273840640.

The previous prime is 70840106269. The next prime is 70840106297. The reversal of 70840106288 is 88260104807.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 189919670 + ... + 189920042.

It is an arithmetic number, because the mean of its divisors is an integer number (1016190912).

Almost surely, 270840106288 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 70840106288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81295272960).

70840106288 is an abundant number, since it is smaller than the sum of its proper divisors (91750439632).

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

70840106288 is a wasteful number, since it uses less digits than its factorization.

70840106288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 875 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 44.

The spelling of 70840106288 in words is "seventy billion, eight hundred forty million, one hundred six thousand, two hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 47 56 94 109 112 188 218 329 331 373 376 436 658 662 746 752 763 872 1316 1324 1492 1526 1744 2317 2611 2632 2648 2984 3052 4634 5123 5222 5264 5296 5968 6104 9268 10246 10444 12208 15557 17531 18536 20492 20888 31114 35062 35861 36079 37072 40657 40984 41776 62228 70124 71722 72158 81314 81968 108899 122717 123463 124456 140248 143444 144316 162628 217798 245434 246926 248912 252553 280496 284599 286888 288632 325256 435596 490868 493852 505106 569198 573776 577264 650512 864241 871192 981736 987704 1010212 1138396 1695713 1728482 1742384 1910879 1963472 1975408 2020424 2276792 3391426 3456964 3821758 4040848 4553584 5802761 6782852 6913928 7643516 11605522 11869991 13376153 13457467 13565704 13827856 15287032 23211044 23739982 26752306 26914934 27131408 30574064 40619327 46422088 47479964 53504612 53829868 81238654 92844176 94202269 94959928 107009224 107659736 162477308 188404538 189919856 214018448 215319472 324954616 376809076 632500949 649909232 753618152 1265001898 1507236304 2530003796 4427506643 5060007592 8855013286 10120015184 17710026572 35420053144 70840106288