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468628928448 = 2633122539829
BaseRepresentation
bin1101101000111000111…
…01011111011111000000
31122210121120000011021120
412310130131133133000
530134223001202243
6555141332152240
745600030111342
oct6643435373700
91583546004246
10468628928448
111708208a408a
12769a6a68680
13352649c5545
1418978a77292
15c2cb97ac83
hex6d1c75f7c0

468628928448 has 84 divisors (see below), whose sum is σ = 1281202004520. Its totient is φ = 151170562560.

The previous prime is 468628928441. The next prime is 468628928507. The reversal of 468628928448 is 844829826864.

It is a super-2 number, since 2×4686289284482 (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 (468628928441) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1085403 + ... + 1454426.

Almost surely, 2468628928448 is an apocalyptic number.

468628928448 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

468628928448 is an abundant number, since it is smaller than the sum of its proper divisors (812573076072).

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

468628928448 is a wasteful number, since it uses less digits than its factorization.

468628928448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2539906 (or 2539865 counting only the distinct ones).

The product of its digits is 339738624, while the sum is 69.

The spelling of 468628928448 in words is "four hundred sixty-eight billion, six hundred twenty-eight million, nine hundred twenty-eight thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 186 192 248 372 496 744 961 992 1488 1922 1984 2883 2976 3844 5766 5952 7688 11532 15376 23064 30752 46128 61504 92256 184512 2539829 5079658 7619487 10159316 15238974 20318632 30477948 40637264 60955896 78734699 81274528 121911792 157469398 162549056 236204097 243823584 314938796 472408194 487647168 629877592 944816388 1259755184 1889632776 2440775669 2519510368 3779265552 4881551338 5039020736 7322327007 7558531104 9763102676 14644654014 15117062208 19526205352 29289308028 39052410704 58578616056 78104821408 117157232112 156209642816 234314464224 468628928448