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159790231120 = 24513179037909
BaseRepresentation
bin1001010011010000111…
…1010110111001010000
3120021110001111210012011
42110310033112321100
510104222244343440
6201223455112304
714354515361062
oct2246417267120
9507401453164
10159790231120
1161848468753
1226b75512694
13120b6972020
147a3bb0b732
1542533539ea
hex25343d6e50

159790231120 has 80 divisors (see below), whose sum is σ = 423624917520. Its totient is φ = 55528906752.

The previous prime is 159790231093. The next prime is 159790231123. The reversal of 159790231120 is 21132097951.

It can be written as a sum of positive squares in 8 ways, for example, as 32115507264 + 127674723856 = 179208^2 + 357316^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1597902311202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (159790231123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4501275 + ... + 4536634.

It is an arithmetic number, because the mean of its divisors is an integer number (5295311469).

Almost surely, 2159790231120 is an apocalyptic number.

159790231120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

159790231120 is an abundant number, since it is smaller than the sum of its proper divisors (263834686400).

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

159790231120 is a wasteful number, since it uses less digits than its factorization.

159790231120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9037952 (or 9037946 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 40.

The spelling of 159790231120 in words is "one hundred fifty-nine billion, seven hundred ninety million, two hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 17 20 26 34 40 52 65 68 80 85 104 130 136 170 208 221 260 272 340 442 520 680 884 1040 1105 1360 1768 2210 3536 4420 8840 17680 9037909 18075818 36151636 45189545 72303272 90379090 117492817 144606544 153644453 180758180 234985634 307288906 361516360 469971268 587464085 614577812 723032720 768222265 939942536 1174928170 1229155624 1536444530 1879885072 1997377889 2349856340 2458311248 3072889060 3994755778 4699712680 6145778120 7989511556 9399425360 9986889445 12291556240 15979023112 19973778890 31958046224 39947557780 79895115560 159790231120