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10148414448 = 243317393427
BaseRepresentation
bin10010111001110010…
…01000001111110000
3222012021000212110210
421130321020033300
5131240443230243
64355003424120
7506326046064
oct113471101760
928167025423
1010148414448
114338573a87
121b72825040
13c59682783
146c3b57aa4
153e5e27933
hex25ce483f0

10148414448 has 80 divisors (see below), whose sum is σ = 27433450496. Its totient is φ = 3228802560.

The previous prime is 10148414443. The next prime is 10148414449. The reversal of 10148414448 is 84441484101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10148414443) 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, 61911 + ... + 155337.

Almost surely, 210148414448 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 10148414448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13716725248).

10148414448 is an abundant number, since it is smaller than the sum of its proper divisors (17285036048).

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

10148414448 is a wasteful number, since it uses less digits than its factorization.

10148414448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93542 (or 93536 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 39.

Adding to 10148414448 its reverse (84441484101), we get a palindrome (94589898549).

The spelling of 10148414448 in words is "ten billion, one hundred forty-eight million, four hundred fourteen thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 73 93 124 146 186 219 248 292 372 438 496 584 744 876 1168 1488 1752 2263 3504 4526 6789 9052 13578 18104 27156 36208 54312 93427 108624 186854 280281 373708 560562 747416 1121124 1494832 2242248 2896237 4484496 5792474 6820171 8688711 11584948 13640342 17377422 20460513 23169896 27280684 34754844 40921026 46339792 54561368 69509688 81842052 109122736 139019376 163684104 211425301 327368208 422850602 634275903 845701204 1268551806 1691402408 2537103612 3382804816 5074207224 10148414448