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53604004608 = 28337112329151
BaseRepresentation
bin110001111011000011…
…000011001100000000
312010100202101120112000
4301323003003030000
51334240111121413
640343023504000
73605233343550
oct617303031400
9163322346460
1053604004608
1120808077060
12a47ba58000
13509362282b
142847243160
1515dae98073
hexc7b0c3300

53604004608 has 1152 divisors, whose sum is σ = 214747545600. Its totient is φ = 12773376000.

The previous prime is 53604004577. The next prime is 53604004613. The reversal of 53604004608 is 80640040635.

53604004608 is a `hidden beast` number, since 5 + 3 + 6 + 0 + 40 + 0 + 4 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 354993333 + ... + 354993483.

It is an arithmetic number, because the mean of its divisors is an integer number (186412800).

Almost surely, 253604004608 is an apocalyptic number.

53604004608 is a gapful number since it is divisible by the number (58) 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 53604004608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107373772800).

53604004608 is an abundant number, since it is smaller than the sum of its proper divisors (161143540992).

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

53604004608 is a wasteful number, since it uses less digits than its factorization.

53604004608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 53604004608 in words is "fifty-three billion, six hundred four million, four thousand, six hundred eight".