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11375976690 = 23351331104549
BaseRepresentation
bin10101001100000111…
…11010000011110010
31002100210220111022000
422212003322003302
5141244222223230
65120454354430
7551623130541
oct124603720362
932323814260
1011375976690
114908495731
12225595ba16
1310c3aa7470
1479cbc0158
15468aa9b60
hex2a60fa0f2

11375976690 has 128 divisors (see below), whose sum is σ = 33723648000. Its totient is φ = 2709884160.

The previous prime is 11375976643. The next prime is 11375976691. The reversal of 11375976690 is 9667957311.

It is a happy number.

11375976690 is a `hidden beast` number, since 11 + 37 + 597 + 6 + 6 + 9 + 0 = 666.

It is a super-2 number, since 2×113759766902 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (11375976691) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56536 + ... + 161084.

It is an arithmetic number, because the mean of its divisors is an integer number (263466000).

Almost surely, 211375976690 is an apocalyptic number.

11375976690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11375976690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16861824000).

11375976690 is an abundant number, since it is smaller than the sum of its proper divisors (22347671310).

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

11375976690 is a wasteful number, since it uses less digits than its factorization.

11375976690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104609 (or 104603 counting only the distinct ones).

The product of its (nonzero) digits is 2143260, while the sum is 54.

The spelling of 11375976690 in words is "eleven billion, three hundred seventy-five million, nine hundred seventy-six thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 31 39 45 54 62 65 78 90 93 117 130 135 155 186 195 234 270 279 310 351 390 403 465 558 585 702 806 837 930 1170 1209 1395 1674 1755 2015 2418 2790 3510 3627 4030 4185 6045 7254 8370 10881 12090 18135 21762 36270 54405 104549 108810 209098 313647 522745 627294 940941 1045490 1359137 1568235 1881882 2718274 2822823 3136470 3241019 4077411 4704705 5645646 6482038 6795685 8154822 9409410 9723057 12232233 13591370 14114115 16205095 19446114 20387055 24464466 28228230 29169171 32410190 36696699 40774110 42133247 48615285 58338342 61161165 73393398 84266494 87507513 97230570 122322330 126399741 145845855 175015026 183483495 210666235 252799482 291691710 366966990 379199223 421332470 437537565 631998705 758398446 875075130 1137597669 1263997410 1895996115 2275195338 3791992230 5687988345 11375976690