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137384661942 = 232114015693041
BaseRepresentation
bin111111111110011000…
…0111001001110110110
3111010121120110221101200
41333330300321032312
54222330433140232
6143040314033330
712632343234003
oct1777460711666
9433546427350
10137384661942
11532a0072a30
1222761a18846
13cc55aab898
1469141568aa
15389131177c
hex1ffcc393b6

137384661942 has 96 divisors (see below), whose sum is σ = 326216535840. Its totient is φ = 41441280000.

The previous prime is 137384661923. The next prime is 137384661989. The reversal of 137384661942 is 249166483731.

137384661942 is a `hidden beast` number, since 1 + 373 + 84 + 6 + 6 + 194 + 2 = 666.

It is a super-2 number, since 2×1373846619422 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45175942 + ... + 45178982.

It is an arithmetic number, because the mean of its divisors is an integer number (3398088915).

Almost surely, 2137384661942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137384661942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163108267920).

137384661942 is an abundant number, since it is smaller than the sum of its proper divisors (188831873898).

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

137384661942 is a wasteful number, since it uses less digits than its factorization.

137384661942 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4030 (or 4027 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The spelling of 137384661942 in words is "one hundred thirty-seven billion, three hundred eighty-four million, six hundred sixty-one thousand, nine hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 401 569 802 1138 1203 1707 2406 3041 3414 3609 4411 5121 6082 6259 7218 8822 9123 10242 12518 13233 18246 18777 26466 27369 33451 37554 39699 54738 56331 66902 79398 100353 112662 200706 228169 301059 456338 602118 684507 1219441 1369014 1730329 2053521 2438882 2509859 3460658 3658323 4107042 5019718 5190987 7316646 7529577 10381974 10974969 13413851 15059154 15572961 19033619 21949938 22588731 26827702 31145922 38067238 40241553 45177462 57100857 80483106 114201714 120724659 171302571 241449318 342605142 693861929 1387723858 2081585787 4163171574 6244757361 7632481219 12489514722 15264962438 22897443657 45794887314 68692330971 137384661942