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63493920400 = 24524322932
BaseRepresentation
bin111011001000100010…
…000101011010010000
320001220000000100111111
4323020202011122100
52020013420423100
645100235023104
74405303263361
oct731042053220
9201800010444
1063493920400
1124a22732189
121037bb9aa94
135cab578501
14310490bb68
1519b935d6ba
hexec8885690

63493920400 has 135 divisors (see below), whose sum is σ = 156709019739. Its totient is φ = 24722261760.

The previous prime is 63493920367. The next prime is 63493920431. The reversal of 63493920400 is 402939436.

The square root of 63493920400 is 251980.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 10055276176 + 53438644224 = 100276^2 + 231168^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 216702654 + ... + 216702946.

Almost surely, 263493920400 is an apocalyptic number.

63493920400 is the 251980-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63493920400

63493920400 is an abundant number, since it is smaller than the sum of its proper divisors (93215099339).

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

63493920400 is an equidigital number, since it uses as much as digits as its factorization.

63493920400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 40.

The spelling of 63493920400 in words is "sixty-three billion, four hundred ninety-three million, nine hundred twenty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 43 50 80 86 100 172 200 215 293 344 400 430 586 688 860 1075 1172 1465 1720 1849 2150 2344 2930 3440 3698 4300 4688 5860 7325 7396 8600 9245 11720 12599 14650 14792 17200 18490 23440 25198 29300 29584 36980 46225 50396 58600 62995 73960 85849 92450 100792 117200 125990 147920 171698 184900 201584 251980 314975 343396 369800 429245 503960 541757 629950 686792 739600 858490 1007920 1083514 1259900 1373584 1716980 2146225 2167028 2519800 2708785 3433960 3691507 4292450 4334056 5039600 5417570 6867920 7383014 8584900 8668112 10835140 13543925 14766028 17169800 18457535 21670280 27087850 29532056 34339600 36915070 43340560 54175700 59064112 73830140 92287675 108351400 147660280 158734801 184575350 216702800 295320560 317469602 369150700 634939204 738301400 793674005 1269878408 1476602800 1587348010 2539756816 3174696020 3968370025 6349392040 7936740050 12698784080 15873480100 31746960200 63493920400