Search a number
-
+
466927909474572 = 2233713315328916593
BaseRepresentation
bin110101000101010110010000…
…0001011100001000100001100
32021020020212112211120110212000
41222022230200023201010030
5442200121324311141242
64333023415332512300
7200231266606655310
oct15212544013410414
92236225484513760
10466927909474572
11125861018127307
124445191017b690
1317070161158a10
148343607a9db40
1538eacee4c9a4c
hex1a8ab202e110c

466927909474572 has 384 divisors, whose sum is σ = 1566992542187520. Its totient is φ = 116924818083840.

The previous prime is 466927909474531. The next prime is 466927909474613. The reversal of 466927909474572 is 275474909729664.

466927909474572 is a `hidden beast` number, since 4 + 6 + 6 + 9 + 2 + 7 + 90 + 9 + 474 + 57 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (466927909474531) and next prime (466927909474613).

It is a super-2 number, since 2×4669279094745722 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 466927909474491 and 466927909474500.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1689108 + ... + 30605700.

It is an arithmetic number, because the mean of its divisors is an integer number (4080709745280).

Almost surely, 2466927909474572 is an apocalyptic number.

466927909474572 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 466927909474572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783496271093760).

466927909474572 is an abundant number, since it is smaller than the sum of its proper divisors (1100064632712948).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

466927909474572 is a wasteful number, since it uses less digits than its factorization.

466927909474572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28916710 (or 28916702 counting only the distinct ones).

The product of its (nonzero) digits is 11522165760, while the sum is 81.

The spelling of 466927909474572 in words is "four hundred sixty-six trillion, nine hundred twenty-seven billion, nine hundred nine million, four hundred seventy-four thousand, five hundred seventy-two".