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11270435424 = 2531374012137
BaseRepresentation
bin10100111111100010…
…10011001001100000
31002002110022102220020
422133301103021200
5141040212413144
65102204313440
7546202056213
oct123761231140
932073272806
1011270435424
114863959a46
122226542880
1310a7c73701
1478cb8977a
1545e6ad419
hex29fc53260

11270435424 has 96 divisors (see below), whose sum is σ = 29889137376. Its totient is φ = 3718348800.

The previous prime is 11270435377. The next prime is 11270435437. The reversal of 11270435424 is 42453407211.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5272884 + ... + 5275020.

It is an arithmetic number, because the mean of its divisors is an integer number (311345181).

Almost surely, 211270435424 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 11270435424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14944568688).

11270435424 is an abundant number, since it is smaller than the sum of its proper divisors (18618701952).

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

11270435424 is a wasteful number, since it uses less digits than its factorization.

11270435424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2688 (or 2680 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The spelling of 11270435424 in words is "eleven billion, two hundred seventy million, four hundred thirty-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 137 274 401 411 548 802 822 1096 1203 1604 1644 2137 2192 2406 3208 3288 4274 4384 4812 6411 6416 6576 8548 9624 12822 12832 13152 17096 19248 25644 34192 38496 51288 54937 68384 102576 109874 164811 205152 219748 292769 329622 439496 585538 659244 856937 878307 878992 1171076 1318488 1713874 1756614 1757984 2342152 2570811 2636976 3427748 3513228 4684304 5141622 5273952 6855496 7026456 9368608 10283244 13710992 14052912 20566488 27421984 28105824 41132976 82265952 117400369 234800738 352201107 469601476 704402214 939202952 1408804428 1878405904 2817608856 3756811808 5635217712 11270435424