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136180926728 = 23711436138387
BaseRepresentation
bin111111011010100000…
…1000000100100001000
3111000111200102212002222
41332311001000210020
54212344304123403
6142321033513212
712560455530620
oct1766501004410
9430450385088
10136180926728
1152832645940
1222486872808
13cac35aa222
14683c333880
1538207d9338
hex1fb5040908

136180926728 has 128 divisors (see below), whose sum is σ = 326318699520. Its totient is φ = 51732898560.

The previous prime is 136180926703. The next prime is 136180926737. The reversal of 136180926728 is 827629081631.

136180926728 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 3690272-1.

It is a self number, because there is not a number n which added to its sum of digits gives 136180926728.

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, 16232951 + ... + 16241337.

It is an arithmetic number, because the mean of its divisors is an integer number (2549364840).

Almost surely, 2136180926728 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 136180926728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163159349760).

136180926728 is an abundant number, since it is smaller than the sum of its proper divisors (190137772792).

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

136180926728 is a wasteful number, since it uses less digits than its factorization.

136180926728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9067 (or 9063 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 53.

The spelling of 136180926728 in words is "one hundred thirty-six billion, one hundred eighty million, nine hundred twenty-six thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 11 14 22 28 43 44 56 77 86 88 154 172 301 308 344 473 602 613 616 946 1204 1226 1892 2408 2452 3311 3784 4291 4904 6622 6743 8387 8582 13244 13486 16774 17164 26359 26488 26972 33548 34328 47201 52718 53944 58709 67096 92257 94402 105436 117418 184513 184514 188804 210872 234836 289949 360641 369026 369028 377608 469672 579898 645799 721282 738052 738056 1159796 1291598 1442564 1476104 2029643 2319592 2524487 2583196 2885128 3967051 4059286 5048974 5141231 5166392 7934102 8118572 10097948 10282462 15868204 16237144 20195896 20564924 27769357 31736408 35988617 41129848 55538714 56553541 71977234 111077428 113107082 143954468 221072933 222154856 226214164 287908936 395874787 442145866 452428328 791749574 884291732 1547510531 1583499148 1768583464 2431802263 3095021062 3166998296 4863604526 6190042124 9727209052 12380084248 17022615841 19454418104 34045231682 68090463364 136180926728