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408772531968 = 2834933107897
BaseRepresentation
bin1011111001011001011…
…11011101011100000000
31110002010001122011112020
411330230233131130000
523144131232010333
6511442034001440
741350523122653
oct5745457353400
91402101564466
10408772531968
111483a548a519
1267281116280
132c715c37968
1415adb2c589a
15a976b423b3
hex5f2cbdd700

408772531968 has 72 divisors (see below), whose sum is σ = 1088161688208. Its totient is φ = 136228626432.

The previous prime is 408772531967. The next prime is 408772531987. The reversal of 408772531968 is 869135277804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408772531967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3734596 + ... + 3842492.

It is a 1-persistent number, because it is pandigital, but 2⋅408772531968 = 817545063936 is not.

Almost surely, 2408772531968 is an apocalyptic number.

408772531968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

408772531968 is an abundant number, since it is smaller than the sum of its proper divisors (679389156240).

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

408772531968 is a wasteful number, since it uses less digits than its factorization.

408772531968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112849 (or 112835 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 60.

The spelling of 408772531968 in words is "four hundred eight billion, seven hundred seventy-two million, five hundred thirty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 4933 9866 14799 19732 29598 39464 59196 78928 107897 118392 157856 215794 236784 315712 323691 431588 473568 631424 647382 863176 947136 1262848 1294764 1726352 1894272 2589528 3452704 3788544 5179056 6905408 10358112 13810816 20716224 27621632 41432448 82864896 532255901 1064511802 1596767703 2129023604 3193535406 4258047208 6387070812 8516094416 12774141624 17032188832 25548283248 34064377664 51096566496 68128755328 102193132992 136257510656 204386265984 408772531968