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10485811448 = 2372223119953
BaseRepresentation
bin10011100010000000…
…01100100011111000
31000001202220102010222
421301000030203320
5132433331431243
64452255155212
7520563632600
oct116100144370
930052812128
1010485811448
1144a0a70382
122047815b08
13cb1545378
147168a3c00
15415872168
hex27100c8f8

10485811448 has 48 divisors (see below), whose sum is σ = 22973590080. Its totient is φ = 4473729792.

The previous prime is 10485811421. The next prime is 10485811451. The reversal of 10485811448 is 84411858401.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 10485811399 and 10485811408.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 27440 + ... + 147392.

It is an arithmetic number, because the mean of its divisors is an integer number (478616460).

Almost surely, 210485811448 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 10485811448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11486795040).

10485811448 is an abundant number, since it is smaller than the sum of its proper divisors (12487778632).

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

10485811448 is a wasteful number, since it uses less digits than its factorization.

10485811448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120196 (or 120185 counting only the distinct ones).

The product of its (nonzero) digits is 163840, while the sum is 44.

The spelling of 10485811448 in words is "ten billion, four hundred eighty-five million, eight hundred eleven thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 223 392 446 892 1561 1784 3122 6244 10927 12488 21854 43708 87416 119953 239906 479812 839671 959624 1679342 3358684 5877697 6717368 11755394 23510788 26749519 47021576 53499038 106998076 187246633 213996152 374493266 748986532 1310726431 1497973064 2621452862 5242905724 10485811448