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63271088448 = 2631315694421
BaseRepresentation
bin111010111011010000…
…000011000101000000
320001022110201022112020
4322323100003011000
52014034344312243
645022155001440
74366626243501
oct727320030500
9201273638466
1063271088448
1124918975247
1210319439280
135c74358a99
1430c30a4ba8
1519a49e4283
hexebb403140

63271088448 has 112 divisors (see below), whose sum is σ = 169017330240. Its totient is φ = 20887859200.

The previous prime is 63271088417. The next prime is 63271088449. The reversal of 63271088448 is 84488017236.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 63271088448.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63271088449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14309278 + ... + 14313698.

Almost surely, 263271088448 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 63271088448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84508665120).

63271088448 is an abundant number, since it is smaller than the sum of its proper divisors (105746241792).

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

63271088448 is a wasteful number, since it uses less digits than its factorization.

63271088448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5136 (or 5126 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 51.

The spelling of 63271088448 in words is "sixty-three billion, two hundred seventy-one million, eighty-eight thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 131 192 262 393 524 569 786 1048 1138 1572 1707 2096 2276 3144 3414 4192 4421 4552 6288 6828 8384 8842 9104 12576 13263 13656 17684 18208 25152 26526 27312 35368 36416 53052 54624 70736 74539 106104 109248 141472 149078 212208 223617 282944 298156 424416 447234 579151 596312 848832 894468 1158302 1192624 1737453 1788936 2316604 2385248 2515549 3474906 3577872 4633208 4770496 5031098 6949812 7155744 7546647 9266416 10062196 13899624 14311488 15093294 18532832 20124392 27799248 30186588 37065664 40248784 55598496 60373176 80497568 111196992 120746352 160995136 241492704 329536919 482985408 659073838 988610757 1318147676 1977221514 2636295352 3954443028 5272590704 7908886056 10545181408 15817772112 21090362816 31635544224 63271088448