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159413338756 = 2272194792
BaseRepresentation
bin1001010001110111000…
…1101000001010000100
3120020110210022200001201
42110131301220022010
510102434303320011
6201122233032244
714342261010400
oct2243561501204
9506423280051
10159413338756
1161674745961
1226a8b255684
13120568614a9
147a03a40100
154230206cc1
hex251dc68284

159413338756 has 135 divisors (see below), whose sum is σ = 346939709319. Its totient is φ = 63904918896.

The previous prime is 159413338727. The next prime is 159413338759. The reversal of 159413338756 is 657833314951.

The square root of 159413338756 is 399266.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×1594133387562 (a number of 23 digits) contains 22 as substring.

Its product of digits (8164800) is a multiple of the sum of its prime factors (252).

It is a junction number, because it is equal to n+sod(n) for n = 159413338697 and 159413338706.

It is not an unprimeable number, because it can be changed into a prime (159413338759) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2017890325 + ... + 2017890403.

Almost surely, 2159413338756 is an apocalyptic number.

159413338756 is the 399266-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 159413338756

159413338756 is an abundant number, since it is smaller than the sum of its proper divisors (187526370563).

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

159413338756 is an frugal number, since it uses more digits than its factorization.

159413338756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 107 counting only the distinct ones).

The product of its digits is 8164800, while the sum is 55.

The spelling of 159413338756 in words is "one hundred fifty-nine billion, four hundred thirteen million, three hundred thirty-eight thousand, seven hundred fifty-six".

Divisors: 1 2 4 7 14 19 28 38 49 76 79 98 133 158 196 266 316 361 532 553 722 931 1106 1444 1501 1862 2212 2527 3002 3724 3871 5054 6004 6241 6859 7742 10108 10507 12482 13718 15484 17689 21014 24964 27436 28519 35378 42028 43687 48013 57038 70756 73549 87374 96026 114076 118579 130321 147098 174748 192052 199633 237158 260642 294196 305809 336091 399266 474316 521284 541861 611618 672182 798532 830053 912247 1083722 1223236 1344364 1397431 1660106 1824494 2167444 2253001 2794862 3320212 3648988 3793027 4506002 5589724 5810371 6385729 7586054 9012004 10295359 11620742 12771458 15172108 15771007 20590718 23241484 25542916 26551189 31542014 41181436 42807019 53102378 63084028 72067513 85614038 106204756 110397049 144135026 171228076 220794098 288270052 299649133 441588196 504472591 599298266 813333361 1008945182 1198596532 1626666722 2017890364 2097543931 3253333444 4195087862 5693333527 8390175724 11386667054 22773334108 39853334689 79706669378 159413338756