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8480448088400 = 245221201120221
BaseRepresentation
bin111101101101000001000…
…0110001000100101010000
31010000201112000020002120202
41323122002012020211100
52102420424202312100
630011510345554332
71533456260250101
oct173320206104520
933021460202522
108480448088400
11277a5a0952102
12b4b698aa59a8
1349691a144b72
14214654cdc3a8
15ea8e133e7d5
hex7b682188950

8480448088400 has 30 divisors (see below), whose sum is σ = 20374276533342. Its totient is φ = 3392179235200.

The previous prime is 8480448088363. The next prime is 8480448088423. The reversal of 8480448088400 is 48808440848.

It can be written as a sum of positive squares in 3 ways, for example, as 298697227024 + 8181750861376 = 546532^2 + 2860376^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10600559711 + ... + 10600560510.

Almost surely, 28480448088400 is an apocalyptic number.

8480448088400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8480448088400 is an abundant number, since it is smaller than the sum of its proper divisors (11893828444942).

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

8480448088400 is a wasteful number, since it uses less digits than its factorization.

8480448088400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21201120239 (or 21201120228 counting only the distinct ones).

The product of its (nonzero) digits is 8388608, while the sum is 56.

The spelling of 8480448088400 in words is "eight trillion, four hundred eighty billion, four hundred forty-eight million, eighty-eight thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 21201120221 42402240442 84804480884 106005601105 169608961768 212011202210 339217923536 424022404420 530028005525 848044808840 1060056011050 1696089617680 2120112022100 4240224044200 8480448088400