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60728908800 = 2103527831361
BaseRepresentation
bin111000100011101110…
…011001110000000000
312210202022011012122110
4320203232121300000
51443333100040200
643522023135320
74246630131150
oct704356316000
9183668135573
1060728908800
112383398202a
12b929ba4540
13595a77b981
142d215d4760
1518a6735b50
hexe23b99c00

60728908800 has 528 divisors, whose sum is σ = 232319630592. Its totient is φ = 13703577600.

The previous prime is 60728908789. The next prime is 60728908817. The reversal of 60728908800 is 880982706.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 60728908800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44620120 + ... + 44621480.

Almost surely, 260728908800 is an apocalyptic number.

60728908800 is a gapful number since it is divisible by the number (60) 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 60728908800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116159815296).

60728908800 is an abundant number, since it is smaller than the sum of its proper divisors (171590721792).

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

60728908800 is a wasteful number, since it uses less digits than its factorization.

60728908800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1484 (or 1461 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 48.

It can be divided in two parts, 60728 and 908800, that added together give a triangular number (969528 = T1392).

The spelling of 60728908800 in words is "sixty billion, seven hundred twenty-eight million, nine hundred eight thousand, eight hundred".