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11246424772224 = 273136121519151
BaseRepresentation
bin1010001110101000001100…
…1001110100111010000000
31110211010222200100010221010
42203222003021310322000
52433230134220202344
635530311453400520
72240345614164435
oct243520311647200
943733880303833
1011246424772224
113646644654664
121317770a99140
136376c1897445
142ac489205b8c
1514782a6a68b9
hexa3a83274e80

11246424772224 has 64 divisors (see below), whose sum is σ = 29895266724480. Its totient is φ = 3746053632000.

The previous prime is 11246424772217. The next prime is 11246424772283. The reversal of 11246424772224 is 42227742464211.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10236952 + ... + 11282199.

It is an arithmetic number, because the mean of its divisors is an integer number (467113542570).

Almost surely, 211246424772224 is an apocalyptic number.

It is an amenable number.

11246424772224 is an abundant number, since it is smaller than the sum of its proper divisors (18648841952256).

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

11246424772224 is a wasteful number, since it uses less digits than its factorization.

11246424772224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21520529 (or 21520517 counting only the distinct ones).

The product of its digits is 2408448, while the sum is 48.

The spelling of 11246424772224 in words is "eleven trillion, two hundred forty-six billion, four hundred twenty-four million, seven hundred seventy-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 1361 2722 4083 5444 8166 10888 16332 21776 32664 43552 65328 87104 130656 174208 261312 522624 21519151 43038302 64557453 86076604 129114906 172153208 258229812 344306416 516459624 688612832 1032919248 1377225664 2065838496 2754451328 4131676992 8263353984 29287564511 58575129022 87862693533 117150258044 175725387066 234300516088 351450774132 468601032176 702901548264 937202064352 1405803096528 1874404128704 2811606193056 3748808257408 5623212386112 11246424772224