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11071469970 = 23251114837541
BaseRepresentation
bin10100100111110100…
…10011100110010010
31001120120220221121100
422103322103212102
5140133244014340
65030340005230
7541234641051
oct122372234622
931516827540
1011071469970
114771613290
12218b990816
13107598c282
14770596398
1544beaa830
hex293e93992

11071469970 has 96 divisors (see below), whose sum is σ = 31428057024. Its totient is φ = 2681827200.

The previous prime is 11071469953. The next prime is 11071469999. The reversal of 11071469970 is 7996417011.

11071469970 is a `hidden beast` number, since 110 + 7 + 1 + 469 + 9 + 70 = 666.

11071469970 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×110714699702 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1464400 + ... + 1471940.

It is an arithmetic number, because the mean of its divisors is an integer number (327375594).

Almost surely, 211071469970 is an apocalyptic number.

11071469970 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 11071469970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15714028512).

11071469970 is an abundant number, since it is smaller than the sum of its proper divisors (20356587054).

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

11071469970 is a wasteful number, since it uses less digits than its factorization.

11071469970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9048 (or 9045 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 45.

The spelling of 11071469970 in words is "eleven billion, seventy-one million, four hundred sixty-nine thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 1483 2966 4449 7415 7541 8898 13347 14830 15082 16313 22245 22623 26694 32626 37705 44490 45246 48939 66735 67869 75410 81565 82951 97878 113115 133470 135738 146817 163130 165902 226230 244695 248853 293634 339345 414755 489390 497706 678690 734085 746559 829510 1244265 1468170 1493118 2488530 3732795 7465590 11183303 22366606 33549909 55916515 67099818 100649727 111833030 123016333 167749545 201299454 246032666 335499090 369048999 503248635 615081665 738097998 1006497270 1107146997 1230163330 1845244995 2214293994 3690489990 5535734985 11071469970