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115893039420 = 2232510349912527
BaseRepresentation
bin110101111101111000…
…0110111000100111100
3102002010210012101201100
41223323300313010330
53344322104230140
6125123542013100
711241636403254
oct1537360670474
9362123171640
10115893039420
1145171665924
121a564417190
13ac0c385b92
145875b0c964
153034653530
hex1afbc3713c

115893039420 has 144 divisors (see below), whose sum is σ = 355694976000. Its totient is φ = 30540993408.

The previous prime is 115893039373. The next prime is 115893039439. The reversal of 115893039420 is 24930398511.

It is a happy number.

115893039420 is a `hidden beast` number, since 1 + 1 + 589 + 30 + 39 + 4 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 9245197 + ... + 9257723.

It is an arithmetic number, because the mean of its divisors is an integer number (2470104000).

Almost surely, 2115893039420 is an apocalyptic number.

115893039420 is a gapful number since it is divisible by the number (10) 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 115893039420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177847488000).

115893039420 is an abundant number, since it is smaller than the sum of its proper divisors (239801936580).

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

115893039420 is a wasteful number, since it uses less digits than its factorization.

115893039420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13144 (or 13139 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 115893039420 in words is "one hundred fifteen billion, eight hundred ninety-three million, thirty-nine thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 103 180 206 309 412 499 515 618 927 998 1030 1236 1497 1545 1854 1996 2060 2495 2994 3090 3708 4491 4635 4990 5988 6180 7485 8982 9270 9980 12527 14970 17964 18540 22455 25054 29940 37581 44910 50108 51397 62635 75162 89820 102794 112743 125270 150324 154191 187905 205588 225486 250540 256985 308382 375810 450972 462573 513970 563715 616764 751620 770955 925146 1027940 1127430 1290281 1541910 1850292 2254860 2312865 2580562 3083820 3870843 4625730 5161124 6250973 6451405 7741686 9251460 11612529 12501946 12902810 15483372 18752919 19354215 23225058 25003892 25805620 31254865 37505838 38708430 46450116 56258757 58062645 62509730 75011676 77416860 93764595 112517514 116125290 125019460 187529190 225035028 232250580 281293785 375058380 562587570 643850219 1125175140 1287700438 1931550657 2575400876 3219251095 3863101314 5794651971 6438502190 7726202628 9657753285 11589303942 12877004380 19315506570 23178607884 28973259855 38631013140 57946519710 115893039420