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137020678028 = 221317433799511
BaseRepresentation
bin111111110011100010…
…0011001111110001100
3111002200012120122022222
41333213010121332030
54221104243144103
6142540232354512
712620333355263
oct1774704317614
9432605518288
10137020678028
1153123667483
122267bb45a38
13cbc856a6a0
1468bba895da
15386e3b4638
hex1fe7119f8c

137020678028 has 96 divisors (see below), whose sum is σ = 280547688960. Its totient is φ = 57976611840.

The previous prime is 137020678021. The next prime is 137020678051. The reversal of 137020678028 is 820876020731.

It is a happy number.

It is a super-3 number, since 3×1370206780283 (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 137020678028.

It is not an unprimeable number, because it can be changed into a prime (137020678021) 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, 14401793 + ... + 14411303.

It is an arithmetic number, because the mean of its divisors is an integer number (2922371760).

Almost surely, 2137020678028 is an apocalyptic number.

It is an amenable number.

137020678028 is an abundant number, since it is smaller than the sum of its proper divisors (143527010932).

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

137020678028 is a wasteful number, since it uses less digits than its factorization.

137020678028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9967 (or 9965 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 44.

Adding to 137020678028 its reverse (820876020731), we get a palindrome (957896698759).

The spelling of 137020678028 in words is "one hundred thirty-seven billion, twenty million, six hundred seventy-eight thousand, twenty-eight".

Divisors: 1 2 4 13 17 26 34 43 52 68 86 172 221 379 442 559 731 758 884 1118 1462 1516 2236 2924 4927 6443 9503 9511 9854 12886 16297 19006 19022 19708 25772 32594 38012 38044 65188 83759 123643 161687 167518 211861 247286 277049 323374 335036 408973 423722 494572 554098 646748 817946 847444 1108196 1635892 2101931 3601637 3604669 4203862 5316649 6952541 7203274 7209338 8407724 10633298 13905082 14406548 14418676 21266596 27810164 46860697 61279373 90383033 93721394 122558746 155000767 180766066 187442788 245117492 310001534 361532132 620003068 796631849 1593263698 2015009971 2635013039 3186527396 4030019942 5270026078 8060039884 10540052156 34255169507 68510339014 137020678028