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14978928198624 = 2531397123735529
BaseRepresentation
bin1101100111111000110110…
…1100011100001111100000
31222000222020021000221220120
43121332031230130033200
53430403321104323444
651505120303440240
73104122542633255
oct331761554341740
958028207027816
1014978928198624
1148555895172a5
12181b0248b6080
13848678788260
1439adac11142c
151ae982782b19
hexd9f8db1c3e0

14978928198624 has 96 divisors (see below), whose sum is σ = 42780817084320. Its totient is φ = 4561386504192.

The previous prime is 14978928198571. The next prime is 14978928198631. The reversal of 14978928198624 is 42689182987941.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (78).

It is a self number, because there is not a number n which added to its sum of digits gives 14978928198624.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61746709 + ... + 61988820.

It is an arithmetic number, because the mean of its divisors is an integer number (445633511295).

Almost surely, 214978928198624 is an apocalyptic number.

It is an amenable number.

14978928198624 is an abundant number, since it is smaller than the sum of its proper divisors (27801888885696).

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

14978928198624 is a wasteful number, since it uses less digits than its factorization.

14978928198624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123735652 (or 123735644 counting only the distinct ones).

The product of its digits is 1003290624, while the sum is 78.

The spelling of 14978928198624 in words is "fourteen trillion, nine hundred seventy-eight billion, nine hundred twenty-eight million, one hundred ninety-eight thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 97 104 156 194 208 291 312 388 416 582 624 776 1164 1248 1261 1552 2328 2522 3104 3783 4656 5044 7566 9312 10088 15132 20176 30264 40352 60528 121056 123735529 247471058 371206587 494942116 742413174 989884232 1484826348 1608561877 1979768464 2969652696 3217123754 3959536928 4825685631 5939305392 6434247508 9651371262 11878610784 12002346313 12868495016 19302742524 24004692626 25736990032 36007038939 38605485048 48009385252 51473980064 72014077878 77210970096 96018770504 144028155756 154421940192 156030502069 192037541008 288056311512 312061004138 384075082016 468091506207 576112623024 624122008276 936183012414 1152225246048 1248244016552 1872366024828 2496488033104 3744732049656 4992976066208 7489464099312 14978928198624