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35738390116 = 221121326612
BaseRepresentation
bin100001010010001011…
…001000111001100100
310102020200002022202101
4201102023020321210
51041143011440431
624230141421444
72403426206122
oct412213107144
9112220068671
1035738390116
111417a431500
126b1486a884
1334a71b4c00
141a305d8912
15de27d7961
hex8522c8e64

35738390116 has 81 divisors (see below), whose sum is σ = 74552328459. Its totient is φ = 14972443200.

The previous prime is 35738390099. The next prime is 35738390141. The reversal of 35738390116 is 61109383753.

The square root of 35738390116 is 189046.

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

It can be written as a sum of positive squares in 4 ways, for example, as 207648100 + 35530742016 = 14410^2 + 188496^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 54066826 + ... + 54067486.

Almost surely, 235738390116 is an apocalyptic number.

35738390116 is the 189046-th square number.

It is an amenable number.

35738390116 is an abundant number, since it is smaller than the sum of its proper divisors (38813938343).

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

35738390116 is a wasteful number, since it uses less digits than its factorization.

35738390116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1374 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 46.

The spelling of 35738390116 in words is "thirty-five billion, seven hundred thirty-eight million, three hundred ninety thousand, one hundred sixteen".

Divisors: 1 2 4 11 13 22 26 44 52 121 143 169 242 286 338 484 572 661 676 1322 1573 1859 2644 3146 3718 6292 7271 7436 8593 14542 17186 20449 29084 34372 40898 79981 81796 94523 111709 159962 189046 223418 319924 378092 436921 446836 873842 1039753 1228799 1747684 2079506 2457598 4159012 4806131 4915196 5679973 9612262 11359946 13516789 19224524 22719892 27033578 52867441 54067156 62479703 73839649 105734882 124959406 147679298 211469764 249918812 295358596 687276733 812236139 1374553466 1624472278 2749106932 3248944556 8934597529 17869195058 35738390116