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668669952 = 2113432531
BaseRepresentation
bin100111110110110…
…001100000000000
31201121012221201210
4213312301200000
52332134414302
6150203530120
722366413036
oct4766614000
91647187653
10668669952
113134a06a5
12167b29940
13a86bcbc2
1464b40556
153da8466c
hex27db1800

668669952 has 96 divisors (see below), whose sum is σ = 1824863040. Its totient is φ = 217620480.

The previous prime is 668669941. The next prime is 668670017. The reversal of 668669952 is 259966866.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 668669892 and 668669901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 262927 + ... + 265457.

It is an arithmetic number, because the mean of its divisors is an integer number (19008990).

Almost surely, 2668669952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 668669952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (912431520).

668669952 is an abundant number, since it is smaller than the sum of its proper divisors (1156193088).

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

668669952 is a wasteful number, since it uses less digits than its factorization.

668669952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2599 (or 2579 counting only the distinct ones).

The product of its digits is 8398080, while the sum is 57.

The square root of 668669952 is about 25858.6533292049. The cubic root of 668669952 is about 874.4546052099.

The spelling of 668669952 in words is "six hundred sixty-eight million, six hundred sixty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 128 129 172 192 256 258 344 384 512 516 688 768 1024 1032 1376 1536 2048 2064 2531 2752 3072 4128 5062 5504 6144 7593 8256 10124 11008 15186 16512 20248 22016 30372 33024 40496 44032 60744 66048 80992 88064 108833 121488 132096 161984 217666 242976 264192 323968 326499 435332 485952 647936 652998 870664 971904 1295872 1305996 1741328 1943808 2591744 2611992 3482656 3887616 5183488 5223984 6965312 7775232 10447968 13930624 15550464 20895936 27861248 41791872 55722496 83583744 111444992 167167488 222889984 334334976 668669952