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35530201980 = 2232571371137223
BaseRepresentation
bin100001000101110000…
…111101101101111100
310101201011100021022200
4201011300331231330
51040231212430410
624153343311500
72365320506460
oct410560755574
9111634307280
1035530201980
1114082966699
126a76bab590
133473021970
141a10ac44a0
15dce3b23c0
hex845c3db7c

35530201980 has 576 divisors, whose sum is σ = 136103804928. Its totient is φ = 7304048640.

The previous prime is 35530201979. The next prime is 35530202003. The reversal of 35530201980 is 8910203553.

35530201980 is a `hidden beast` number, since 3 + 553 + 0 + 20 + 1 + 9 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 159328149 + ... + 159328371.

It is an arithmetic number, because the mean of its divisors is an integer number (236291328).

Almost surely, 235530201980 is an apocalyptic number.

35530201980 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 35530201980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68051902464).

35530201980 is an abundant number, since it is smaller than the sum of its proper divisors (100573602948).

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

35530201980 is a wasteful number, since it uses less digits than its factorization.

35530201980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 35530201980 in words is "thirty-five billion, five hundred thirty million, two hundred one thousand, nine hundred eighty".