Search a number
-
+
468604765662 = 231171353283289
BaseRepresentation
bin1101101000110110000…
…01010100010111011110
31122210112212112120011120
412310123001110113132
530134200310000122
6555135110231410
745566314534035
oct6643301242736
91583485476146
10468604765662
111708091a0240
127699a955566
133525c9b5437
141897578771c
15c2c97a675c
hex6d1b0545de

468604765662 has 64 divisors (see below), whose sum is σ = 1039751354880. Its totient is φ = 139604326400.

The previous prime is 468604765649. The next prime is 468604765691. The reversal of 468604765662 is 266567406864.

It is a super-2 number, since 2×4686047656622 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 468604765596 and 468604765605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1512514 + ... + 1795802.

It is an arithmetic number, because the mean of its divisors is an integer number (16246114920).

Almost surely, 2468604765662 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468604765662, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519875677440).

468604765662 is an abundant number, since it is smaller than the sum of its proper divisors (571146589218).

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

468604765662 is a wasteful number, since it uses less digits than its factorization.

468604765662 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283729.

The product of its (nonzero) digits is 69672960, while the sum is 60.

The spelling of 468604765662 in words is "four hundred sixty-eight billion, six hundred four million, seven hundred sixty-five thousand, six hundred sixty-two".

Divisors: 1 2 3 6 11 22 33 66 71 142 213 353 426 706 781 1059 1562 2118 2343 3883 4686 7766 11649 23298 25063 50126 75189 150378 275693 283289 551386 566578 827079 849867 1654158 1699734 3116179 6232358 9348537 18697074 20113519 40227038 60340557 100001017 120681114 200002034 221248709 300003051 442497418 600006102 663746127 1100011187 1327492254 2200022374 3300033561 6600067122 7100072207 14200144414 21300216621 42600433242 78100794277 156201588554 234302382831 468604765662