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5941969152 = 28372938113
BaseRepresentation
bin1011000100010101…
…10100000100000000
3120100002212022022120
411202022310010000
544132121003102
62421341004240
7300150622140
oct54212640400
916302768276
105941969152
11257a0a5409
121199b53680
1373905b1a2
14405224920
1524b9c36bc
hex1622b4100

5941969152 has 144 divisors (see below), whose sum is σ = 18697203840. Its totient is φ = 1639120896.

The previous prime is 5941969141. The next prime is 5941969213. The reversal of 5941969152 is 2519691495.

It is a junction number, because it is equal to n+sod(n) for n = 5941969095 and 5941969104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136848 + ... + 174960.

Almost surely, 25941969152 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 5941969152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9348601920).

5941969152 is an abundant number, since it is smaller than the sum of its proper divisors (12755234688).

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

5941969152 is a wasteful number, since it uses less digits than its factorization.

5941969152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38168 (or 38154 counting only the distinct ones).

The product of its digits is 874800, while the sum is 51.

The square root of 5941969152 is about 77084.1692697015. The cubic root of 5941969152 is about 1811.2433234735.

The spelling of 5941969152 in words is "five billion, nine hundred forty-one million, nine hundred sixty-nine thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 56 58 64 84 87 96 112 116 128 168 174 192 203 224 232 256 336 348 384 406 448 464 609 672 696 768 812 896 928 1218 1344 1392 1624 1792 1856 2436 2688 2784 3248 3712 4872 5376 5568 6496 7424 9744 11136 12992 19488 22272 25984 38113 38976 51968 76226 77952 114339 152452 155904 228678 266791 304904 457356 533582 609808 800373 914712 1067164 1105277 1219616 1600746 1829424 2134328 2210554 2439232 3201492 3315831 3658848 4268656 4421108 4878464 6402984 6631662 7317696 7736939 8537312 8842216 9756928 12805968 13263324 14635392 15473878 17074624 17684432 23210817 25611936 26526648 29270784 30947756 34149248 35368864 46421634 51223872 53053296 61895512 68298496 70737728 92843268 102447744 106106592 123791024 141475456 185686536 204895488 212213184 247582048 282950912 371373072 424426368 495164096 742746144 848852736 990328192 1485492288 1980656384 2970984576 5941969152