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11735457272 = 23721117160093
BaseRepresentation
bin10101110110111110…
…01101110111111000
31010021212022222221122
422323133031313320
5143013234113042
65220255324412
7563546512100
oct127337156770
933255288848
1011735457272
114a823a5820
122336220708
1311503cc976
147d4838200
1548a4177d2
hex2bb7cddf8

11735457272 has 96 divisors (see below), whose sum is σ = 29566159920. Its totient is φ = 4303272960.

The previous prime is 11735457269. The next prime is 11735457299. The reversal of 11735457272 is 27275453711.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6743 + ... + 153350.

Almost surely, 211735457272 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 11735457272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14783079960).

11735457272 is an abundant number, since it is smaller than the sum of its proper divisors (17830702648).

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

11735457272 is a wasteful number, since it uses less digits than its factorization.

11735457272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160141 (or 160130 counting only the distinct ones).

The product of its digits is 411600, while the sum is 44.

The spelling of 11735457272 in words is "eleven billion, seven hundred thirty-five million, four hundred fifty-seven thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 11 14 17 22 28 34 44 49 56 68 77 88 98 119 136 154 187 196 238 308 374 392 476 539 616 748 833 952 1078 1309 1496 1666 2156 2618 3332 4312 5236 6664 9163 10472 18326 36652 73304 160093 320186 640372 1120651 1280744 1761023 2241302 2721581 3522046 4482604 5443162 7044092 7844557 8965208 10886324 12327161 14088184 15689114 19051067 21772648 24654322 29937391 31378228 38102134 49308644 59874782 62756456 76204268 86290127 98617288 119749564 133357469 152408536 172580254 209561737 239499128 266714938 345160508 419123474 533429876 690321016 838246948 1066859752 1466932159 1676493896 2933864318 5867728636 11735457272