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1985460864 = 2737965449
BaseRepresentation
bin111011001010111…
…1011101010000000
312010100222212021120
41312111323222000
513031234221424
6525003152240
7100126065432
oct16625735200
95110885246
101985460864
11929817152
12474b15680
1325845671a
1414b992652
15b948ea79
hex7657ba80

1985460864 has 64 divisors (see below), whose sum is σ = 5340720000. Its totient is φ = 653432832.

The previous prime is 1985460859. The next prime is 1985460871. The reversal of 1985460864 is 4680645891.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2389 + ... + 63060.

It is an arithmetic number, because the mean of its divisors is an integer number (83448750).

Almost surely, 21985460864 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 1985460864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2670360000).

1985460864 is an abundant number, since it is smaller than the sum of its proper divisors (3355259136).

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

1985460864 is an equidigital number, since it uses as much as digits as its factorization.

1985460864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65545 (or 65533 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 51.

The square root of 1985460864 is about 44558.5105675672. The cubic root of 1985460864 is about 1256.8605945591.

The spelling of 1985460864 in words is "one billion, nine hundred eighty-five million, four hundred sixty thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 79 96 128 158 192 237 316 384 474 632 948 1264 1896 2528 3792 5056 7584 10112 15168 30336 65449 130898 196347 261796 392694 523592 785388 1047184 1570776 2094368 3141552 4188736 5170471 6283104 8377472 10340942 12566208 15511413 20681884 25132416 31022826 41363768 62045652 82727536 124091304 165455072 248182608 330910144 496365216 661820288 992730432 1985460864