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53992010240 = 295723711633
BaseRepresentation
bin110010010010001011…
…001011001000000000
312011100210111022011222
4302102023023020000
51341033423311430
640445324054212
73620654341400
oct622213131000
9164323438158
1053992010240
112099709a473
12a569994368
135125b2486c
1428829a4800
15161008c9e5
hexc922cb200

53992010240 has 240 divisors, whose sum is σ = 154672959672. Its totient is φ = 18009686016.

The previous prime is 53992010221. The next prime is 53992010249. The reversal of 53992010240 is 4201029935.

It can be written as a sum of positive squares in 4 ways, for example, as 52870564096 + 1121446144 = 229936^2 + 33488^2 .

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 53992010240.

It is not an unprimeable number, because it can be changed into a prime (53992010249) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4635464 + ... + 4647096.

Almost surely, 253992010240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53992010240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77336479836).

53992010240 is an abundant number, since it is smaller than the sum of its proper divisors (100680949432).

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

53992010240 is a wasteful number, since it uses less digits than its factorization.

53992010240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11707 (or 11684 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 35.

The spelling of 53992010240 in words is "fifty-three billion, nine hundred ninety-two million, ten thousand, two hundred forty".