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36148221520 = 2453712212237
BaseRepresentation
bin100001101010100110…
…100001011001010000
310110022020020220202021
4201222212201121100
51043012421042040
624334541501224
72416533545635
oct415246413120
9113266226667
1036148221520
111436a801944
127009b71814
1335410893b8
141a6cbdc18c
15e1878e24a
hex86a9a1650

36148221520 has 40 divisors (see below), whose sum is σ = 86316098184. Its totient is φ = 14068495872.

The previous prime is 36148221509. The next prime is 36148221533. The reversal of 36148221520 is 2512284163.

It can be written as a sum of positive squares in 4 ways, for example, as 3110069824 + 33038151696 = 55768^2 + 181764^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×361482215202 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6103159 + ... + 6109078.

Almost surely, 236148221520 is an apocalyptic number.

It is an amenable number.

36148221520 is an abundant number, since it is smaller than the sum of its proper divisors (50167876664).

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

36148221520 is a wasteful number, since it uses less digits than its factorization.

36148221520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12212287 (or 12212281 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The spelling of 36148221520 in words is "thirty-six billion, one hundred forty-eight million, two hundred twenty-one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 740 1480 2960 12212237 24424474 48848948 61061185 97697896 122122370 195395792 244244740 451852769 488489480 903705538 976978960 1807411076 2259263845 3614822152 4518527690 7229644304 9037055380 18074110760 36148221520