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4253876459520 = 211351135312197
BaseRepresentation
bin111101111001101110110…
…010111001100000000000
3120001122222222001002211020
4331321232302321200000
51024143414333201040
613014112011345440
7616222011211122
oct75715662714000
916048888032736
104253876459520
1113a00713aa276
1258851a752280
1324b1a601274c
14109c62907212
15759be294cd0
hex3de6ecb9800

4253876459520 has 192 divisors, whose sum is σ = 13611395921760. Its totient is φ = 1134174142464.

The previous prime is 4253876459513. The next prime is 4253876459563. The reversal of 4253876459520 is 259546783524.

4253876459520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 348758062 + ... + 348770258.

Almost surely, 24253876459520 is an apocalyptic number.

4253876459520 is a gapful number since it is divisible by the number (40) 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 4253876459520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6805697960880).

4253876459520 is an abundant number, since it is smaller than the sum of its proper divisors (9357519462240).

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

4253876459520 is a wasteful number, since it uses less digits than its factorization.

4253876459520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23580 (or 23560 counting only the distinct ones).

The product of its (nonzero) digits is 72576000, while the sum is 60.

The spelling of 4253876459520 in words is "four trillion, two hundred fifty-three billion, eight hundred seventy-six million, four hundred fifty-nine thousand, five hundred twenty".