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135581868610212 = 223292514393535771
BaseRepresentation
bin11110110100111110011101…
…000111011101001010100100
3122210001111111112120102202010
4132310332131013131022210
5120232333131331011322
61200205241154114220
740362316045100133
oct3664763507351244
9583044445512663
10135581868610212
113a222a47244822
121325881157b970
135a86413a9212b
14256a2a9b5991a
1510a1bdee7920c
hex7b4f9d1dd2a4

135581868610212 has 96 divisors (see below), whose sum is σ = 329318975462400. Its totient is φ = 43362683280000.

The previous prime is 135581868610189. The next prime is 135581868610213. The reversal of 135581868610212 is 212016868185531.

It is not an unprimeable number, because it can be changed into a prime (135581868610213) 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, 36577887 + ... + 40113657.

It is an arithmetic number, because the mean of its divisors is an integer number (3430405994400).

Almost surely, 2135581868610212 is an apocalyptic number.

135581868610212 is a gapful number since it is divisible by the number (12) 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 135581868610212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164659487731200).

135581868610212 is an abundant number, since it is smaller than the sum of its proper divisors (193737106852188).

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

135581868610212 is a wasteful number, since it uses less digits than its factorization.

135581868610212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3536497 (or 3536495 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 57.

The spelling of 135581868610212 in words is "one hundred thirty-five trillion, five hundred eighty-one billion, eight hundred sixty-eight million, six hundred ten thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 251 348 439 502 753 878 1004 1317 1506 1756 2634 3012 5268 7279 12731 14558 21837 25462 29116 38193 43674 50924 76386 87348 110189 152772 220378 330567 440756 661134 1322268 3195481 3535771 6390962 7071542 9586443 10607313 12781924 14143084 19172886 21214626 38345772 42429252 102537359 205074718 307612077 410149436 615224154 887478521 1230448308 1552203469 1774957042 2662435563 3104406938 3549914084 4656610407 5324871126 6208813876 9313220814 10649742252 18626441628 25736877109 45013900601 51473754218 77210631327 90027801202 102947508436 135041701803 154421262654 180055602404 270083403606 308842525308 389603070719 540166807212 779206141438 1168809212157 1558412282876 2337618424314 4675236848628 11298489050851 22596978101702 33895467152553 45193956203404 67790934305106 135581868610212