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96316578438201 = 321122973972
BaseRepresentation
bin10101111001100101110011…
…011100011001110000111001
3110122000202220221210202221100
4111321211303130121300321
5100111022323040010301
6540503120355202013
726200433413355532
oct2571456334316071
9418022827722840
1096316578438201
11287646a4618900
12a97696b2a6309
1341987caa1b974
1419ada66719689
15b20636678286
hex579973719c39

96316578438201 has 27 divisors (see below), whose sum is σ = 152921877029103. Its totient is φ = 58373487619920.

The previous prime is 96316578438191. The next prime is 96316578438203. The reversal of 96316578438201 is 10283487561369.

The square root of 96316578438201 is 9814101.

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

96316578438201 is a `hidden beast` number, since 9 + 6 + 3 + 1 + 6 + 578 + 4 + 38 + 20 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 39592724675625 + 56723853762576 = 6292275^2 + 7531524^2 .

It is not a de Polignac number, because 96316578438201 - 29 = 96316578437689 is a prime.

It is a super-2 number, since 2×963165784382012 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (96316578438203) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 323716635 + ... + 324014031.

It is a 3-persistent number, because k⋅96316578438201 is pandigital for 1 ≤ k ≤ 3, but not for k = 4.

Almost surely, 296316578438201 is an apocalyptic number.

96316578438201 is the 9814101-st square number.

96316578438201 is the 4907051-st centered octagonal number.

It is an amenable number.

96316578438201 is a deficient number, since it is larger than the sum of its proper divisors (56605298590902).

96316578438201 is an frugal number, since it uses more digits than its factorization.

96316578438201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594822 (or 297411 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 96316578438201 in words is "ninety-six trillion, three hundred sixteen billion, five hundred seventy-eight million, four hundred thirty-eight thousand, two hundred one".

Divisors: 1 3 9 11 33 99 121 363 1089 297397 892191 2676573 3271367 9814101 29442303 35985037 107955111 323865333 88444975609 265334926827 796004780481 972894731699 2918684195097 8756052585291 10701842048689 32105526146067 96316578438201