Search a number
-
+
13996178072406 = 2323731096759499
BaseRepresentation
bin1100101110101011110100…
…1110001110001101010110
31211120000120201021220201200
43023222331032032031112
53313303133041304111
645433431101533330
72643122224453365
oct313527516161526
954500521256650
1013996178072406
114506822707942
1216a0677874246
137a6aac1acc2a
143655c0a2d7dc
15194115600256
hexcbabd38e356

13996178072406 has 48 divisors (see below), whose sum is σ = 31154670690000. Its totient is φ = 4537840273344.

The previous prime is 13996178072299. The next prime is 13996178072411. The reversal of 13996178072406 is 60427087169931.

13996178072406 is a `hidden beast` number, since 1 + 3 + 9 + 9 + 617 + 8 + 0 + 7 + 2 + 4 + 0 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1309156 + ... + 5450343.

It is an arithmetic number, because the mean of its divisors is an integer number (649055639375).

Almost surely, 213996178072406 is an apocalyptic number.

13996178072406 is an abundant number, since it is smaller than the sum of its proper divisors (17158492617594).

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

13996178072406 is a wasteful number, since it uses less digits than its factorization.

13996178072406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6762653 (or 6762650 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 13996178072406 in words is "thirteen trillion, nine hundred ninety-six billion, one hundred seventy-eight million, seventy-two thousand, four hundred six".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 3109 6218 9327 18654 27981 55962 115033 230066 345099 690198 1035297 2070594 6759499 13518998 20278497 40556994 60835491 121670982 250101463 500202926 750304389 1500608778 2250913167 4501826334 21015282391 42030564782 63045847173 126091694346 189137541519 378275083038 777565448467 1555130896934 2332696345401 4665392690802 6998089036203 13996178072406