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2994195984 = 2431321572351
BaseRepresentation
bin1011001001110111…
…1100111000010000
321201200002220201120
42302131330320100
522113003232414
61213040002240
7134125150233
oct26235747020
97650086646
102994195984
1112a716683a
126b6900380
13389431800
1420593541a
15127ce92a9
hexb277ce10

2994195984 has 120 divisors (see below), whose sum is σ = 8432710272. Its totient is φ = 915033600.

The previous prime is 2994195983. The next prime is 2994196001. The reversal of 2994195984 is 4895914992.

2994195984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2994195983) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1272409 + ... + 1274759.

Almost surely, 22994195984 is an apocalyptic number.

2994195984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2994195984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4216355136).

2994195984 is an abundant number, since it is smaller than the sum of its proper divisors (5438514288).

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

2994195984 is a wasteful number, since it uses less digits than its factorization.

2994195984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2545 (or 2526 counting only the distinct ones).

The product of its digits is 8398080, while the sum is 60.

The square root of 2994195984 is about 54719.2469246425. The cubic root of 2994195984 is about 1441.3188765665.

The spelling of 2994195984 in words is "two billion, nine hundred ninety-four million, one hundred ninety-five thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 157 169 208 312 314 338 471 507 624 628 676 942 1014 1256 1352 1884 2028 2041 2351 2512 2704 3768 4056 4082 4702 6123 7053 7536 8112 8164 9404 12246 14106 16328 18808 24492 26533 28212 30563 32656 37616 48984 53066 56424 61126 79599 91689 97968 106132 112848 122252 159198 183378 212264 244504 318396 366756 369107 397319 424528 489008 636792 733512 738214 794638 1107321 1191957 1273584 1467024 1476428 1589276 2214642 2383914 2952856 3178552 4429284 4767828 4798391 5905712 6357104 8858568 9535656 9596782 14395173 17717136 19071312 19193564 28790346 38387128 57580692 62379083 76774256 115161384 124758166 187137249 230322768 249516332 374274498 499032664 748548996 998065328 1497097992 2994195984