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14920775007616 = 271576591126669
BaseRepresentation
bin1101100100100000001101…
…1111100111110110000000
31221211102010110112202211101
43121020003133213312000
53423430221400220431
651422302011024144
73066663466650322
oct331100337476600
957742113482741
1014920775007616
114832957565165
12180b8b543b054
1384303b829c6a
14398252a3b612
151ad1cc232961
hexd92037e7d80

14920775007616 has 64 divisors (see below), whose sum is σ = 29959732638000. Its totient is φ = 7401613879296.

The previous prime is 14920775007613. The next prime is 14920775007659. The reversal of 14920775007616 is 61670057702941.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14920775007613) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12679930 + ... + 13806598.

Almost surely, 214920775007616 is an apocalyptic number.

14920775007616 is a gapful number since it is divisible by the number (16) 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 14920775007616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14979866319000).

14920775007616 is an abundant number, since it is smaller than the sum of its proper divisors (15038957630384).

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

14920775007616 is a wasteful number, since it uses less digits than its factorization.

14920775007616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1127499 (or 1127487 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 55.

The spelling of 14920775007616 in words is "fourteen trillion, nine hundred twenty billion, seven hundred seventy-five million, seven thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 32 64 128 157 314 628 659 1256 1318 2512 2636 5024 5272 10048 10544 20096 21088 42176 84352 103463 206926 413852 827704 1126669 1655408 2253338 3310816 4506676 6621632 9013352 13243264 18026704 36053408 72106816 144213632 176887033 353774066 707548132 742474871 1415096264 1484949742 2830192528 2969899484 5660385056 5939798968 11320770112 11879597936 22641540224 23759195872 47518391744 95036783488 116568554747 233137109494 466274218988 932548437976 1865096875952 3730193751904 7460387503808 14920775007616