Search a number
-
+
12535435700557 = 71117137439115919
BaseRepresentation
bin1011011001101010001000…
…1100010010100101001101
31122101101011001210220202221
42312122202030102211031
53120340033014404212
642354411043215341
72432440532250250
oct266324214224515
948341131726687
1012535435700557
113aa3280722640
1214a5550077551
136cc1180c24c3
14314a0b127097
1516b11e99a807
hexb66a231294d

12535435700557 has 64 divisors (see below), whose sum is σ = 16673555496960. Its totient is φ = 9123535411200.

The previous prime is 12535435700533. The next prime is 12535435700617. The reversal of 12535435700557 is 75500753453521.

It is a happy number.

It is not a de Polignac number, because 12535435700557 - 243 = 3739342678349 is a prime.

It is a super-2 number, since 2×125354357005572 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12535435700857) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 787443244 + ... + 787459162.

It is an arithmetic number, because the mean of its divisors is an integer number (260524304640).

Almost surely, 212535435700557 is an apocalyptic number.

12535435700557 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

12535435700557 is a deficient number, since it is larger than the sum of its proper divisors (4138119796403).

12535435700557 is a wasteful number, since it uses less digits than its factorization.

12535435700557 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20482.

The product of its (nonzero) digits is 11025000, while the sum is 52.

The spelling of 12535435700557 in words is "twelve trillion, five hundred thirty-five billion, four hundred thirty-five million, seven hundred thousand, five hundred fifty-seven".

Divisors: 1 7 11 17 77 119 137 187 959 1309 1507 2329 4391 10549 15919 16303 25619 30737 48301 74647 111433 175109 179333 270623 338107 522529 601567 821117 1225763 1894361 2180903 2976853 4210969 5747819 6617237 10226639 15266321 20837971 23989933 37075351 46320659 69900329 71586473 112493029 167929531 259527457 407828861 489302303 768903619 787451203 1188305593 2854802027 5382325333 8318139151 9576345073 13071361523 67034415511 91499530661 105339795803 162797866241 737378570621 1139585063687 1790776528651 12535435700557