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34469242472 = 23722911326833
BaseRepresentation
bin100000000110100001…
…101110011001101000
310021222012221221111002
4200012201232121220
51031043111224342
623500203254132
72330115504200
oct400641563150
9107865857432
1034469242472
1113688a97055
12681b81a348
13333428cb82
14194dc29400
15d6b18dd32
hex80686e668

34469242472 has 96 divisors (see below), whose sum is σ = 78465299400. Its totient is φ = 14136385536.

The previous prime is 34469242459. The next prime is 34469242499. The reversal of 34469242472 is 27424296443.

It can be written as a sum of positive squares in 4 ways, for example, as 11738855716 + 22730386756 = 108346^2 + 150766^2 .

It is a hoax number, since the sum of its digits (47) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1271168 + ... + 1298000.

Almost surely, 234469242472 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 34469242472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39232649700).

34469242472 is an abundant number, since it is smaller than the sum of its proper divisors (43996056928).

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

34469242472 is a wasteful number, since it uses less digits than its factorization.

34469242472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26995 (or 26984 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 47.

The spelling of 34469242472 in words is "thirty-four billion, four hundred sixty-nine million, two hundred forty-two thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 14 28 29 49 56 58 98 113 116 196 203 226 232 392 406 452 791 812 904 1421 1582 1624 2842 3164 3277 5537 5684 6328 6554 11074 11368 13108 22148 22939 26216 26833 44296 45878 53666 91756 107332 160573 183512 187831 214664 321146 375662 642292 751324 778157 1284584 1314817 1502648 1556314 2629634 3032129 3112628 5259268 5447099 6064258 6225256 10518536 10894198 12128516 21224903 21788396 24257032 38129693 42449806 43576792 76259386 84899612 87931741 148574321 152518772 169799224 175863482 297148642 305037544 351726964 594297284 615522187 703453928 1188594568 1231044374 2462088748 4308655309 4924177496 8617310618 17234621236 34469242472