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159978788465320 = 2351129103912066913
BaseRepresentation
bin100100010111111111110110…
…110110111010101010101000
3202222102211012211110102212101
4210113333312312322222220
5131432043024321342240
61324125124004223144
745461041341205006
oct4427776666725250
9688384184412771
10159978788465320
1146a796944a5330
1215b38b6469aab4
136b35c20317086
142b7102c3ada76
15137663708d39a
hex917ff6dbaaa8

159978788465320 has 128 divisors (see below), whose sum is σ = 406606734144000. Its totient is φ = 56114036858880.

The previous prime is 159978788465297. The next prime is 159978788465357. The reversal of 159978788465320 is 23564887879951.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7224184 + ... + 19291096.

It is an arithmetic number, because the mean of its divisors is an integer number (3176615110500).

It is a 1-persistent number, because it is pandigital, but 2⋅159978788465320 = 319957576930640 is not.

Almost surely, 2159978788465320 is an apocalyptic number.

159978788465320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 159978788465320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203303367072000).

159978788465320 is an abundant number, since it is smaller than the sum of its proper divisors (246627945678680).

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

159978788465320 is a wasteful number, since it uses less digits than its factorization.

159978788465320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12068003 (or 12067999 counting only the distinct ones).

The product of its (nonzero) digits is 7315660800, while the sum is 82.

The spelling of 159978788465320 in words is "one hundred fifty-nine trillion, nine hundred seventy-eight billion, seven hundred eighty-eight million, four hundred sixty-five thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 29 40 44 55 58 88 110 116 145 220 232 290 319 440 580 638 1039 1160 1276 1595 2078 2552 3190 4156 5195 6380 8312 10390 11429 12760 20780 22858 30131 41560 45716 57145 60262 91432 114290 120524 150655 228580 241048 301310 331441 457160 602620 662882 1205240 1325764 1657205 2651528 3314410 6628820 12066913 13257640 24133826 48267652 60334565 96535304 120669130 132736043 241338260 265472086 349940477 482676520 530944172 663680215 699880954 1061888344 1327360430 1399761908 1749702385 2654720860 2799523816 3499404770 3849345247 5309441720 6998809540 7698690494 12537522607 13997619080 15397380988 19246726235 25075045214 30794761976 38493452470 50150090428 62687613035 76986904940 100300180856 125375226070 137912748677 153973809880 250750452140 275825497354 363588155603 501500904280 551650994708 689563743385 727176311206 1103301989416 1379127486770 1454352622412 1817940778015 2758254973540 2908705244824 3635881556030 3999469711633 5516509947080 7271763112060 7998939423266 14543526224120 15997878846532 19997348558165 31995757693064 39994697116330 79989394232660 159978788465320