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48672743161 = 72315172
BaseRepresentation
bin101101010101000111…
…110001111011111001
311122122002100112112011
4231111013301323321
51244140210240121
634205425445521
73342104330200
oct552507617371
9148562315464
1048672743161
1119707549379
1295244a08a1
134788ab0553
1424da356237
1513ed0bd7e1
hexb551f1ef9

48672743161 has 9 divisors (see below), whose sum is σ = 56621109999. Its totient is φ = 41718170424.

The previous prime is 48672743143. The next prime is 48672743177. The reversal of 48672743161 is 16134727684.

The square root of 48672743161 is 220619.

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

It can be written as a sum of positive squares in only one way, i.e., 6053618025 + 42619125136 = 77805^2 + 206444^2 .

It is not a de Polignac number, because 48672743161 - 233 = 40082808569 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (48672743101) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1528575 + ... + 1560091.

Almost surely, 248672743161 is an apocalyptic number.

48672743161 is the 220619-th square number.

48672743161 is the 110310-th centered octagonal number.

It is an amenable number.

48672743161 is a deficient number, since it is larger than the sum of its proper divisors (7948366838).

48672743161 is an frugal number, since it uses more digits than its factorization.

48672743161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63048 (or 31524 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 49.

Multiplying 48672743161 by its sum of digits (49), we get a square (2384964414889 = 15443332).

48672743161 divided by its sum of digits (49) gives a square (993321289 = 315172).

The spelling of 48672743161 in words is "forty-eight billion, six hundred seventy-two million, seven hundred forty-three thousand, one hundred sixty-one".

Divisors: 1 7 49 31517 220619 1544333 993321289 6953249023 48672743161