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1130187806968 = 2311171974219109
BaseRepresentation
bin10000011100100100011…
…100010101100011111000
311000001012201202020211111
4100130210130111203320
5122004111034310333
62223111235010104
7144440051565403
oct20344434254370
94001181666744
101130187806968
113a634560a1a0
12163055739934
138276504884c
143c9b683cd3a
151e5ead264cd
hex107247158f8

1130187806968 has 128 divisors (see below), whose sum is σ = 2466272318400. Its totient is φ = 479853158400.

The previous prime is 1130187806963. The next prime is 1130187806971. The reversal of 1130187806968 is 8696087810311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1130187806963) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 124069198 + ... + 124078306.

Almost surely, 21130187806968 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 1130187806968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1233136159200).

1130187806968 is an abundant number, since it is smaller than the sum of its proper divisors (1336084511432).

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

1130187806968 is a wasteful number, since it uses less digits than its factorization.

1130187806968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9761 (or 9757 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 58.

The spelling of 1130187806968 in words is "one trillion, one hundred thirty billion, one hundred eighty-seven million, eight hundred six thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 136 187 197 374 394 421 748 788 842 1496 1576 1684 2167 3349 3368 4334 4631 6698 7157 8668 9109 9262 13396 14314 17336 18218 18524 26792 28628 36436 36839 37048 57256 72872 73678 78727 82937 100199 147356 154853 157454 165874 200398 294712 309706 314908 331748 400796 619412 629816 663496 801592 912307 1238824 1409929 1703383 1794473 1824614 2819858 3406766 3588946 3649228 3834889 5639716 6813532 7177892 7298456 7669778 11279432 13627064 14355784 15339556 15509219 19739203 30506041 30679112 31018438 39478406 42183779 61012082 62036876 65193113 78956812 84367558 122024164 124073752 130386226 157913624 168735116 244048328 260772452 335566451 337470232 521544904 671132902 717124243 755473133 1342265804 1434248486 1510946266 2684531608 2868496972 3021892532 5736993944 6043785064 8310204463 12843043261 16620408926 25686086522 33240817852 51372173044 66481635704 102744346088 141273475871 282546951742 565093903484 1130187806968