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5983297632 = 253513229157
BaseRepresentation
bin1011001001010000…
…11110000001100000
3120102222122000100000
411210220132001200
544223211011012
62425414500000
7301162122264
oct54450360140
916388560300
105983297632
1125a0463084
1211ab964600
1374479b600
1440a9020a4
15250438ddc
hex164a1e060

5983297632 has 432 divisors, whose sum is σ = 19891675440. Its totient is φ = 1766209536.

The previous prime is 5983297627. The next prime is 5983297643. The reversal of 5983297632 is 2367923895.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 38110098 + ... + 38110254.

It is an arithmetic number, because the mean of its divisors is an integer number (46045545).

Almost surely, 25983297632 is an apocalyptic number.

5983297632 is a gapful number since it is divisible by the number (52) 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 5983297632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9945837720).

5983297632 is an abundant number, since it is smaller than the sum of its proper divisors (13908377808).

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

5983297632 is a wasteful number, since it uses less digits than its factorization.

5983297632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 204 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 54.

The square root of 5983297632 is about 77351.7784669493. The cubic root of 5983297632 is about 1815.4329026807.

It can be divided in two parts, 59832 and 97632, that added together give a cube (157464 = 543).

The spelling of 5983297632 in words is "five billion, nine hundred eighty-three million, two hundred ninety-seven thousand, six hundred thirty-two".