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320990052352 = 21588111119
BaseRepresentation
bin1001010101111000111…
…11111000000000000000
31010200112100102011111111
410222330133320000000
520224341423133402
6403243310453104
732122301266264
oct4527437700000
91120470364444
10320990052352
11114149575302
1252262b04194
132436666c928
1411770b060a4
15853a2e39d7
hex4abc7f8000

320990052352 has 64 divisors (see below), whose sum is σ = 642756794400. Its totient is φ = 160298434560.

The previous prime is 320990052323. The next prime is 320990052353. The reversal of 320990052352 is 253250099023.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×3209900523522 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320990052353) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 28863049 + ... + 28874167.

Almost surely, 2320990052352 is an apocalyptic number.

320990052352 is a gapful number since it is divisible by the number (32) 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 320990052352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321378397200).

320990052352 is an abundant number, since it is smaller than the sum of its proper divisors (321766742048).

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

320990052352 is an frugal number, since it uses more digits than its factorization.

320990052352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12030 (or 12002 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 40.

The spelling of 320990052352 in words is "three hundred twenty billion, nine hundred ninety million, fifty-two thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 128 256 512 881 1024 1762 2048 3524 4096 7048 8192 11119 14096 16384 22238 28192 32768 44476 56384 88952 112768 177904 225536 355808 451072 711616 902144 1423232 1804288 2846464 3608576 5692928 7217152 9795839 11385856 14434304 19591678 22771712 28868608 39183356 45543424 78366712 91086848 156733424 182173696 313466848 364347392 626933696 1253867392 2507734784 5015469568 10030939136 20061878272 40123756544 80247513088 160495026176 320990052352