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3601681380 = 223251137211233
BaseRepresentation
bin1101011010101101…
…0100101111100100
3100022000012101000200
43112223110233210
524334012301010
61353220310500
7155152533543
oct32653245744
910260171020
103601681380
111589067590
12846242430
1345524b51b
142624aa15a
151612e4cc0
hexd6ad4be4

3601681380 has 288 divisors, whose sum is σ = 12351201408. Its totient is φ = 841881600.

The previous prime is 3601681357. The next prime is 3601681423. The reversal of 3601681380 is 831861063.

3601681380 is a `hidden beast` number, since 360 + 168 + 138 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15457744 + ... + 15457976.

It is an arithmetic number, because the mean of its divisors is an integer number (42886116).

Almost surely, 23601681380 is an apocalyptic number.

3601681380 is a gapful number since it is divisible by the number (30) 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 3601681380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6175600704).

3601681380 is an abundant number, since it is smaller than the sum of its proper divisors (8749520028).

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

3601681380 is a wasteful number, since it uses less digits than its factorization.

3601681380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 3601681380 is about 60014.0098643642. The cubic root of 3601681380 is about 1532.8574308638.

The spelling of 3601681380 in words is "three billion, six hundred one million, six hundred eighty-one thousand, three hundred eighty".