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1938223624401 = 36515632
BaseRepresentation
bin11100001101000111001…
…000010111000011010001
320212021220010200211000000
4130031013020113003101
5223223440221440101
64042224014520213
7260013662655531
oct34150710270321
96767803624000
101938223624401
11687aa5785519
12273783206069
13110a09a9917c
1469b4c1134c1
153563e83b486
hex1c3472170d1

1938223624401 has 21 divisors (see below), whose sum is σ = 2906062424569. Its totient is φ = 1292124023316.

The previous prime is 1938223624399. The next prime is 1938223624411. The reversal of 1938223624401 is 1044263228391.

The square root of 1938223624401 is 1392201.

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

1938223624401 is a `hidden beast` number, since 1 + 9 + 3 + 8 + 2 + 236 + 2 + 4 + 401 = 666.

It is not a de Polignac number, because 1938223624401 - 21 = 1938223624399 is a prime.

It is a super-2 number, since 2×19382236244012 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1938223624411) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 37563646 + ... + 37615208.

Almost surely, 21938223624401 is an apocalyptic number.

1938223624401 is the 1392201-st square number.

1938223624401 is the 696101-st centered octagonal number.

It is an amenable number.

1938223624401 is a deficient number, since it is larger than the sum of its proper divisors (967838800168).

1938223624401 is an frugal number, since it uses more digits than its factorization.

1938223624401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103144 (or 51566 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 1938223624401 in words is "one trillion, nine hundred thirty-eight billion, two hundred twenty-three million, six hundred twenty-four thousand, four hundred one".

Divisors: 1 3 9 27 81 243 729 51563 154689 464067 1392201 4176603 12529809 37589427 2658742969 7976228907 23928686721 71786060163 215358180489 646074541467 1938223624401