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1130941983696 = 2437139108722277
BaseRepresentation
bin10000011101010001011…
…001010010101111010000
311000010011021212101210220
4100131101121102233100
5122012132121434241
62223314135353040
7144464540151360
oct20352131225720
94003137771726
101130941983696
113a66a22a2348
12163226222780
1382855376475
143ca48a7a9a0
151e64214b166
hex10751652bd0

1130941983696 has 160 divisors (see below), whose sum is σ = 3366237880320. Its totient is φ = 320492118528.

The previous prime is 1130941983679. The next prime is 1130941983709. The reversal of 1130941983696 is 6963891490311.

It is a super-3 number, since 3×11309419836963 (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50756110 + ... + 50778386.

It is an arithmetic number, because the mean of its divisors is an integer number (21038986752).

Almost surely, 21130941983696 is an apocalyptic number.

1130941983696 is a gapful number since it is divisible by the number (16) 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 1130941983696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1683118940160).

1130941983696 is an abundant number, since it is smaller than the sum of its proper divisors (2235295896624).

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

1130941983696 is a wasteful number, since it uses less digits than its factorization.

1130941983696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23521 (or 23515 counting only the distinct ones).

The product of its (nonzero) digits is 7558272, while the sum is 60.

The spelling of 1130941983696 in words is "one trillion, one hundred thirty billion, nine hundred forty-one million, nine hundred eighty-three thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 139 168 278 336 417 556 834 973 1087 1112 1668 1946 2174 2224 2919 3261 3336 3892 4348 5838 6522 6672 7609 7784 8696 11676 13044 15218 15568 17392 22277 22827 23352 26088 30436 44554 45654 46704 52176 60872 66831 89108 91308 121744 133662 151093 155939 178216 182616 267324 302186 311878 356432 365232 453279 467817 534648 604372 623756 906558 935634 1057651 1069296 1208744 1247512 1813116 1871268 2115302 2417488 2495024 3096503 3172953 3626232 3742536 4230604 6193006 6345906 7252464 7485072 8461208 9289509 12386012 12691812 16922416 18579018 21675521 24215099 24772024 25383624 37158036 43351042 48430198 49544048 50767248 65026563 72645297 74316072 86702084 96860396 130053126 145290594 148632144 169505693 173404168 193720792 260106252 290581188 339011386 346808336 387441584 508517079 520212504 581162376 678022772 1017034158 1040425008 1162324752 1356045544 2034068316 2712091088 3365898761 4068136632 6731797522 8136273264 10097696283 13463595044 20195392566 23561291327 26927190088 40390785132 47122582654 53854380176 70683873981 80781570264 94245165308 141367747962 161563140528 188490330616 282735495924 376980661232 565470991848 1130941983696