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11476874024 = 23711104917761
BaseRepresentation
bin10101011000001001…
…10011001100101000
31002121211202121102022
422230010303030220
5142001034432044
65134501124012
7554256551060
oct125404631450
932554677368
1011476874024
11495a43a360
1222836b9608
13110b973525
147ac3663a0
1547288a3ee
hex2ac133328

11476874024 has 64 divisors (see below), whose sum is σ = 26856144000. Its totient is φ = 4466995200.

The previous prime is 11476873987. The next prime is 11476874039. The reversal of 11476874024 is 42047867411.

It is a super-3 number, since 3×114768740243 (a number of 31 digits) contains 333 as substring.

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

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, 637304 + ... + 655064.

It is an arithmetic number, because the mean of its divisors is an integer number (419627250).

Almost surely, 211476874024 is an apocalyptic number.

11476874024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11476874024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13428072000).

11476874024 is an abundant number, since it is smaller than the sum of its proper divisors (15379269976).

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

11476874024 is a wasteful number, since it uses less digits than its factorization.

11476874024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18834 (or 18830 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 44.

The spelling of 11476874024 in words is "eleven billion, four hundred seventy-six million, eight hundred seventy-four thousand, twenty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 308 616 1049 2098 4196 7343 8392 11539 14686 17761 23078 29372 35522 46156 58744 71044 80773 92312 124327 142088 161546 195371 248654 323092 390742 497308 646184 781484 994616 1367597 1562968 2735194 5470388 10940776 18631289 37262578 74525156 130419023 149050312 204944179 260838046 409888358 521676092 819776716 1043352184 1434609253 1639553432 2869218506 5738437012 11476874024