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3680017152 = 2837684527
BaseRepresentation
bin1101101101011000…
…1001101100000000
3100111110121020111120
43123112021230000
530014041022102
61405055312240
7160123425660
oct33326115400
910443536446
103680017152
111619301399
1286851b680
13468548256
1426ca5c1a0
1516811a6bc
hexdb589b00

3680017152 has 72 divisors (see below), whose sum is σ = 11193401856. Its totient is φ = 1051431936.

The previous prime is 3680017141. The next prime is 3680017157. The reversal of 3680017152 is 2517100863.

It is a super-2 number, since 2×36800171522 = 27085052478028382208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3680017157) 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, 336888 + ... + 347639.

Almost surely, 23680017152 is an apocalyptic number.

3680017152 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3680017152 is an abundant number, since it is smaller than the sum of its proper divisors (7513384704).

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

3680017152 is an equidigital number, since it uses as much as digits as its factorization.

3680017152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684553 (or 684539 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 3680017152 is about 60663.1449234212. The cubic root of 3680017152 is about 1543.8909244896.

The spelling of 3680017152 in words is "three billion, six hundred eighty million, seventeen thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 768 896 1344 1792 2688 5376 684527 1369054 2053581 2738108 4107162 4791689 5476216 8214324 9583378 10952432 14375067 16428648 19166756 21904864 28750134 32857296 38333512 43809728 57500268 65714592 76667024 87619456 115000536 131429184 153334048 175238912 230001072 262858368 306668096 460002144 525716736 613336192 920004288 1226672384 1840008576 3680017152