Search a number
-
+
10148644377 = 321766331009
BaseRepresentation
bin10010111001110100…
…00000011000011001
3222012021110112212200
421130322000120121
5131241023110002
64355012400413
7506331024324
oct113472003031
928167415780
1010148644377
114338710803
121b72916109
13c59733321
146c3bb77bb
153e5e70b1c
hex25ce80619

10148644377 has 12 divisors (see below), whose sum is σ = 15521456340. Its totient is φ = 6367776768.

The previous prime is 10148644369. The next prime is 10148644381. The reversal of 10148644377 is 77344684101.

10148644377 is a `hidden beast` number, since 10 + 148 + 64 + 437 + 7 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8982490176 + 1166154201 = 94776^2 + 34149^2 .

It is not a de Polignac number, because 10148644377 - 23 = 10148644369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10148644307) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33165352 + ... + 33165657.

It is an arithmetic number, because the mean of its divisors is an integer number (1293454695).

Almost surely, 210148644377 is an apocalyptic number.

10148644377 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

10148644377 is a deficient number, since it is larger than the sum of its proper divisors (5372811963).

10148644377 is a wasteful number, since it uses less digits than its factorization.

10148644377 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66331032 (or 66331029 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 10148644377 in words is "ten billion, one hundred forty-eight million, six hundred forty-four thousand, three hundred seventy-seven".

Divisors: 1 3 9 17 51 153 66331009 198993027 596979081 1127627153 3382881459 10148644377