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20019248352 = 2532157442747
BaseRepresentation
bin10010101001001111…
…010111110011100000
31220200011202012000200
4102221033113303200
5311444411421402
613110253545200
71306044542355
oct225117276340
956604665020
1020019248352
118543386654
123a684a5200
131b70686bac
14d7ca9662c
157c27be21c
hex4a93d7ce0

20019248352 has 72 divisors (see below), whose sum is σ = 57292476696. Its totient is φ = 6630564096.

The previous prime is 20019248299. The next prime is 20019248363. The reversal of 20019248352 is 25384291002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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 polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 176158 + ... + 266589.

It is an arithmetic number, because the mean of its divisors is an integer number (795728843).

Almost surely, 220019248352 is an apocalyptic number.

It is an amenable number.

20019248352 is an abundant number, since it is smaller than the sum of its proper divisors (37273228344).

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

20019248352 is a wasteful number, since it uses less digits than its factorization.

20019248352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442920 (or 442909 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 20019248352 in words is "twenty billion, nineteen million, two hundred forty-eight thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 157 288 314 471 628 942 1256 1413 1884 2512 2826 3768 5024 5652 7536 11304 15072 22608 45216 442747 885494 1328241 1770988 2656482 3541976 3984723 5312964 7083952 7969446 10625928 14167904 15938892 21251856 31877784 42503712 63755568 69511279 127511136 139022558 208533837 278045116 417067674 556090232 625601511 834135348 1112180464 1251203022 1668270696 2224360928 2502406044 3336541392 5004812088 6673082784 10009624176 20019248352