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4119376896 = 210321726293
BaseRepresentation
bin1111010110001000…
…1011010000000000
3101122002100000202200
43311202023100000
531414030030041
61520432313200
7204040061115
oct36542132000
911562300680
104119376896
11182430a918
1296b6a2800
1350858ab2b
142b114a90c
151919a61b6
hexf588b400

4119376896 has 132 divisors (see below), whose sum is σ = 12594773412. Its totient is φ = 1292304384.

The previous prime is 4119376883. The next prime is 4119376957. The reversal of 4119376896 is 6986739114.

It can be written as a sum of positive squares in 2 ways, for example, as 3786679296 + 332697600 = 61536^2 + 18240^2 .

It is a super-2 number, since 2×41193768962 = 33938532022597189632, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 143526 + ... + 169818.

Almost surely, 24119376896 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 4119376896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6297386706).

4119376896 is an abundant number, since it is smaller than the sum of its proper divisors (8475396516).

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

4119376896 is a wasteful number, since it uses less digits than its factorization.

4119376896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26336 (or 26315 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The square root of 4119376896 is about 64182.3721593398. The cubic root of 4119376896 is about 1603.0380942550.

The spelling of 4119376896 in words is "four billion, one hundred nineteen million, three hundred seventy-six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 256 272 288 306 384 408 512 544 576 612 768 816 1024 1088 1152 1224 1536 1632 2176 2304 2448 3072 3264 4352 4608 4896 6528 8704 9216 9792 13056 17408 19584 26112 26293 39168 52224 52586 78336 78879 105172 156672 157758 210344 236637 315516 420688 446981 473274 631032 841376 893962 946548 1262064 1340943 1682752 1787924 1893096 2524128 2681886 3365504 3575848 3786192 4022829 5048256 5363772 6731008 7151696 7572384 8045658 10096512 10727544 13462016 14303392 15144768 16091316 20193024 21455088 26924032 28606784 30289536 32182632 40386048 42910176 57213568 60579072 64365264 80772096 85820352 114427136 121158144 128730528 171640704 228854272 242316288 257461056 343281408 457708544 514922112 686562816 1029844224 1373125632 2059688448 4119376896