Search a number
-
+
2872104144 = 2437131934607
BaseRepresentation
bin1010101100110000…
…1101010011010000
321102011101000012120
42223030031103100
521340224313034
61152555054240
7131113324320
oct25314152320
97364330176
102872104144
111244256398
12681a41380
1336a054710
141d3633280
1511c22dc49
hexab30d4d0

2872104144 has 160 divisors (see below), whose sum is σ = 9612718080. Its totient is φ = 717590016.

The previous prime is 2872104143. The next prime is 2872104197. The reversal of 2872104144 is 4414012782.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2872104143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65689 + ... + 100295.

It is an arithmetic number, because the mean of its divisors is an integer number (60079488).

Almost surely, 22872104144 is an apocalyptic number.

2872104144 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 2872104144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4806359040).

2872104144 is an abundant number, since it is smaller than the sum of its proper divisors (6740613936).

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

2872104144 is a wasteful number, since it uses less digits than its factorization.

2872104144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34657 (or 34651 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The square root of 2872104144 is about 53592.0156739789. The cubic root of 2872104144 is about 1421.4559133541.

The spelling of 2872104144 in words is "two billion, eight hundred seventy-two million, one hundred four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 19 21 24 26 28 38 39 42 48 52 56 57 76 78 84 91 104 112 114 133 152 156 168 182 208 228 247 266 273 304 312 336 364 399 456 494 532 546 624 728 741 798 912 988 1064 1092 1456 1482 1596 1729 1976 2128 2184 2964 3192 3458 3952 4368 5187 5928 6384 6916 10374 11856 13832 20748 27664 34607 41496 69214 82992 103821 138428 207642 242249 276856 415284 449891 484498 553712 657533 726747 830568 899782 968996 1315066 1349673 1453494 1661136 1799564 1937992 1972599 2630132 2699346 2906988 3149237 3599128 3875984 3945198 4602731 5260264 5398692 5813976 6298474 7198256 7890396 8547929 9205462 9447711 10520528 10797384 11627952 12596948 13808193 15780792 17095858 18410924 18895422 21594768 25193896 25643787 27616386 31561584 34191716 36821848 37790844 50387792 51287574 55232772 59835503 68383432 73643696 75581688 102575148 110465544 119671006 136766864 151163376 179506509 205150296 220931088 239342012 359013018 410300592 478684024 718026036 957368048 1436052072 2872104144