Search a number
-
+
72417053332641 = 327787144468511
BaseRepresentation
bin10000011101110011101000…
…101111010101010010100001
3100111102000001221220001022010
4100131303220233111102201
533442440111123121031
6414003533544503133
721152650043001063
oct2035635057252241
9314360057801263
1072417053332641
112108a999774546
128156ab077aaa9
133153b8b953a84
1413c500b2bb733
15858b015cb246
hex41dce8bd54a1

72417053332641 has 8 divisors (see below), whose sum is σ = 96904648985344. Its totient is φ = 48103746617520.

The previous prime is 72417053332627. The next prime is 72417053332651. The reversal of 72417053332641 is 14623335071427.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 72417053332641 - 215 = 72417053299873 is a prime.

It is a super-2 number, since 2×724170533326412 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72417053332651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43572233425 + ... + 43572235086.

It is an arithmetic number, because the mean of its divisors is an integer number (12113081123168).

Almost surely, 272417053332641 is an apocalyptic number.

It is an amenable number.

72417053332641 is a deficient number, since it is larger than the sum of its proper divisors (24487595652703).

72417053332641 is a wasteful number, since it uses less digits than its factorization.

72417053332641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87144468791.

The product of its (nonzero) digits is 2540160, while the sum is 48.

The spelling of 72417053332641 in words is "seventy-two trillion, four hundred seventeen billion, fifty-three million, three hundred thirty-two thousand, six hundred forty-one".

Divisors: 1 3 277 831 87144468511 261433405533 24139017777547 72417053332641