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2945912832 = 21232157509
BaseRepresentation
bin1010111110010111…
…0001000000000000
321121022020212200200
42233211301000000
522013123202312
61204153045200
7133000563102
oct25745610000
97538225620
102945912832
111281988a05
126a26b6800
1337c4279b5
141dd367572
1512395d0dc
hexaf971000

2945912832 has 156 divisors (see below), whose sum is σ = 8580400140. Its totient is φ = 973799424.

The previous prime is 2945912819. The next prime is 2945912873. The reversal of 2945912832 is 2382195492.

2945912832 is a `hidden beast` number, since 2 + 9 + 4 + 591 + 28 + 32 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1656815616 + 1289097216 = 40704^2 + 35904^2 .

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, 5787394 + ... + 5787902.

It is an arithmetic number, because the mean of its divisors is an integer number (55002565).

Almost surely, 22945912832 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 2945912832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4290200070).

2945912832 is an abundant number, since it is smaller than the sum of its proper divisors (5634487308).

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

2945912832 is a wasteful number, since it uses less digits than its factorization.

2945912832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696 (or 671 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 2945912832 is about 54276.2639834394. The cubic root of 2945912832 is about 1433.5294873907.

The spelling of 2945912832 in words is "two billion, nine hundred forty-five million, nine hundred twelve thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 157 192 256 288 314 384 471 509 512 576 628 768 942 1018 1024 1152 1256 1413 1527 1536 1884 2036 2048 2304 2512 2826 3054 3072 3768 4072 4096 4581 4608 5024 5652 6108 6144 7536 8144 9162 9216 10048 11304 12216 12288 15072 16288 18324 18432 20096 22608 24432 30144 32576 36648 36864 40192 45216 48864 60288 65152 73296 79913 80384 90432 97728 120576 130304 146592 159826 160768 180864 195456 239739 241152 260608 293184 319652 321536 361728 390912 479478 482304 521216 586368 639304 643072 719217 723456 781824 958956 964608 1042432 1172736 1278608 1438434 1446912 1563648 1917912 1929216 2084864 2345472 2557216 2876868 2893824 3127296 3835824 4690944 5114432 5753736 5787648 6254592 7671648 9381888 10228864 11507472 15343296 18763776 20457728 23014944 30686592 40915456 46029888 61373184 81830912 92059776 122746368 163661824 184119552 245492736 327323648 368239104 490985472 736478208 981970944 1472956416 2945912832