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11978970282 = 236613672
BaseRepresentation
bin10110010100000000…
…01001010010101010
31010220211112202000000
423022000021102222
5144013104022112
65300354523430
7602564365416
oct131200112252
933824482000
1011978970282
1150978a8744
1223a3896576
13118b9b07c6
14818d05d46
154a19b97dc
hex2ca0094aa

11978970282 has 84 divisors (see below), whose sum is σ = 27456817986. Its totient is φ = 3916829520.

The previous prime is 11978970277. The next prime is 11978970301. The reversal of 11978970282 is 28207987911.

It can be written as a sum of positive squares in only one way, i.e., 11880782001 + 98188281 = 108999^2 + 9909^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 32640063 + ... + 32640429.

Almost surely, 211978970282 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11978970282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13728408993).

11978970282 is an abundant number, since it is smaller than the sum of its proper divisors (15477847704).

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

11978970282 is an frugal number, since it uses more digits than its factorization.

11978970282 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 54.

The spelling of 11978970282 in words is "eleven billion, nine hundred seventy-eight million, nine hundred seventy thousand, two hundred eighty-two".

Divisors: 1 2 3 6 9 18 27 54 61 81 122 162 183 243 366 367 486 549 729 734 1098 1101 1458 1647 2202 3294 3303 4941 6606 9882 9909 14823 19818 22387 29646 29727 44469 44774 59454 67161 88938 89181 134322 134689 178362 201483 267543 269378 402966 404067 535086 604449 808134 1208898 1212201 1813347 2424402 3626694 3636603 5440041 7273206 8216029 10880082 10909809 16320123 16432058 21819618 24648087 32640246 32729427 49296174 65458854 73944261 98188281 147888522 196376562 221832783 443665566 665498349 1330996698 1996495047 3992990094 5989485141 11978970282