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331256678064 = 243133491521089
BaseRepresentation
bin1001101001000000110…
…11111100011010110000
31011200000211212210100020
410310200123330122300
520411403202144224
6412102140123440
732634564206544
oct4644033743260
91150024783306
10331256678064
11118537839144
1254249236580
13253116710a0
1412066431a24
15893b7bbc79
hex4d206fc6b0

331256678064 has 80 divisors (see below), whose sum is σ = 924214284000. Its totient is φ = 101633015808.

The previous prime is 331256678047. The next prime is 331256678147. The reversal of 331256678064 is 460876652133.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 331256677998 and 331256678016.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 542769 + ... + 978320.

It is an arithmetic number, because the mean of its divisors is an integer number (11552678550).

Almost surely, 2331256678064 is an apocalyptic number.

It is an amenable number.

331256678064 is an abundant number, since it is smaller than the sum of its proper divisors (592957605936).

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

331256678064 is a wasteful number, since it uses less digits than its factorization.

331256678064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1521462 (or 1521456 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 51.

The spelling of 331256678064 in words is "three hundred thirty-one billion, two hundred fifty-six million, six hundred seventy-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 349 624 698 1047 1396 2094 2792 4188 4537 5584 8376 9074 13611 16752 18148 27222 36296 54444 72592 108888 217776 1521089 3042178 4563267 6084356 9126534 12168712 18253068 19774157 24337424 36506136 39548314 59322471 73012272 79096628 118644942 158193256 237289884 316386512 474579768 530860061 949159536 1061720122 1592580183 2123440244 3185160366 4246880488 6370320732 6901180793 8493760976 12740641464 13802361586 20703542379 25481282928 27604723172 41407084758 55209446344 82814169516 110418892688 165628339032 331256678064