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34857451620 = 22325661292969
BaseRepresentation
bin100000011101101010…
…101000000001100100
310022222021110000022200
4200131222220001210
51032342001422440
624002512054500
72342541310245
oct403552500144
9108867400280
1034857451620
1113868139362
126909834430
133396833724
141989600ccc
15d902c3c30
hex81daa8064

34857451620 has 72 divisors (see below), whose sum is σ = 105894592440. Its totient is φ = 9281226240.

The previous prime is 34857451591. The next prime is 34857451631. The reversal of 34857451620 is 2615475843.

34857451620 is a `hidden beast` number, since 3 + 4 + 8 + 574 + 51 + 6 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 18048847716 + 16808603904 = 134346^2 + 129648^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27505 + ... + 265464.

Almost surely, 234857451620 is an apocalyptic number.

34857451620 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34857451620 is an abundant number, since it is smaller than the sum of its proper divisors (71037140820).

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

34857451620 is a wasteful number, since it uses less digits than its factorization.

34857451620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293645 (or 293640 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 34857451620 in words is "thirty-four billion, eight hundred fifty-seven million, four hundred fifty-one thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 661 1322 1983 2644 3305 3966 5949 6610 7932 9915 11898 13220 19830 23796 29745 39660 59490 118980 292969 585938 878907 1171876 1464845 1757814 2636721 2929690 3515628 4394535 5273442 5859380 8789070 10546884 13183605 17578140 26367210 52734420 193652509 387305018 580957527 774610036 968262545 1161915054 1742872581 1936525090 2323830108 2904787635 3485745162 3873050180 5809575270 6971490324 8714362905 11619150540 17428725810 34857451620