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2002077696 = 2113378807
BaseRepresentation
bin111011101010101…
…0100100000000000
312011112021002021210
41313111110200000
513100012441241
6530355250120
7100420244133
oct16725244000
95145232253
102002077696
11938136673
1247a5a9940
1325ba23c78
1414dc7a21a
15bab73316
hex77554800

2002077696 has 96 divisors (see below), whose sum is σ = 5482451520. Its totient is φ = 649248768.

The previous prime is 2002077691. The next prime is 2002077713. The reversal of 2002077696 is 6967702002.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (2002077691) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 222925 + ... + 231731.

It is an arithmetic number, because the mean of its divisors is an integer number (57108870).

Almost surely, 22002077696 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 2002077696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2741225760).

2002077696 is an abundant number, since it is smaller than the sum of its proper divisors (3480373824).

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

2002077696 is an equidigital number, since it uses as much as digits as its factorization.

2002077696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8869 (or 8849 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 39.

The square root of 2002077696 is about 44744.5828676500. The cubic root of 2002077696 is about 1260.3571877237.

Adding to 2002077696 its reverse (6967702002), we get a palindrome (8969779698).

The spelling of 2002077696 in words is "two billion, two million, seventy-seven thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 256 296 384 444 512 592 768 888 1024 1184 1536 1776 2048 2368 3072 3552 4736 6144 7104 8807 9472 14208 17614 18944 26421 28416 35228 37888 52842 56832 70456 75776 105684 113664 140912 211368 227328 281824 325859 422736 563648 651718 845472 977577 1127296 1303436 1690944 1955154 2254592 2606872 3381888 3910308 4509184 5213744 6763776 7820616 9018368 10427488 13527552 15641232 18036736 20854976 27055104 31282464 41709952 54110208 62564928 83419904 125129856 166839808 250259712 333679616 500519424 667359232 1001038848 2002077696