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345163587648 = 26311661924691
BaseRepresentation
bin1010000010111010101…
…10100110000001000000
31012222221001011222212120
411001131112212001000
521123343334301043
6422322125324240
733636322041465
oct5013526460100
91188831158776
10345163587648
11123423935150
1256a8a706680
13267198b8479
14129c53d566c
158ea2662983
hex505d5a6040

345163587648 has 112 divisors (see below), whose sum is σ = 996458499840. Its totient is φ = 104574988800.

The previous prime is 345163587583. The next prime is 345163587677. The reversal of 345163587648 is 846785361543.

It is a junction number, because it is equal to n+sod(n) for n = 345163587591 and 345163587600.

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, 13966983 + ... + 13991673.

Almost surely, 2345163587648 is an apocalyptic number.

It is an amenable number.

345163587648 is an abundant number, since it is smaller than the sum of its proper divisors (651294912192).

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

345163587648 is a wasteful number, since it uses less digits than its factorization.

345163587648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31336 (or 31326 counting only the distinct ones).

The product of its digits is 58060800, while the sum is 60.

The spelling of 345163587648 in words is "three hundred forty-five billion, one hundred sixty-three million, five hundred eighty-seven thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 6619 13238 19857 24691 26476 39714 49382 52952 72809 74073 79428 98764 105904 145618 148146 158856 197528 211808 218427 271601 291236 296292 317712 395056 423616 436854 543202 582472 592584 635424 790112 814803 873708 1086404 1164944 1185168 1270848 1580224 1629606 1747416 2172808 2329888 2370336 3259212 3494832 4345616 4659776 4740672 6518424 6989664 8691232 13036848 13979328 17382464 26073696 52147392 163429729 326859458 490289187 653718916 980578374 1307437832 1797727019 1961156748 2614875664 3595454038 3922313496 5229751328 5393181057 7190908076 7844626992 10459502656 10786362114 14381816152 15689253984 21572724228 28763632304 31378507968 43145448456 57527264608 86290896912 115054529216 172581793824 345163587648