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3878106496 = 27118533229
BaseRepresentation
bin1110011100100111…
…0011010110000000
3101000021100012222221
43213021303112000
530420243401441
61440453140424
7165050234635
oct34711632600
911007305887
103878106496
1117100a98a0
1290292a714
1349a5b3994
1428b0a418c
1517a6e88d1
hexe7273580

3878106496 has 64 divisors (see below), whose sum is σ = 8440765200. Its totient is φ = 1760163840.

The previous prime is 3878106481. The next prime is 3878106499. The reversal of 3878106496 is 6946018783.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3878106499) 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, 1199410 + ... + 1202638.

Almost surely, 23878106496 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 3878106496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4220382600).

3878106496 is an abundant number, since it is smaller than the sum of its proper divisors (4562658704).

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

3878106496 is a wasteful number, since it uses less digits than its factorization.

3878106496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4107 (or 4095 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 52.

The square root of 3878106496 is about 62274.4449674182. Note that the first 3 decimals coincide. The cubic root of 3878106496 is about 1571.1099425321.

The spelling of 3878106496 in words is "three billion, eight hundred seventy-eight million, one hundred six thousand, four hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 853 1408 1706 3229 3412 6458 6824 9383 12916 13648 18766 25832 27296 35519 37532 51664 54592 71038 75064 103328 109184 142076 150128 206656 284152 300256 413312 568304 600512 1136608 1201024 2273216 2754337 4546432 5508674 11017348 22034696 30297707 44069392 60595414 88138784 121190828 176277568 242381656 352555136 484763312 969526624 1939053248 3878106496