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2634401923944 = 2337311729329251
BaseRepresentation
bin100110010101011110100…
…101110100001101101000
3100022211211222222201021120
4212111132211310031220
5321130223343031234
65334121051535240
7361220635612320
oct46253645641550
910284758881246
102634401923944
11926275230a8a
12366693a5a520
1316156654159b
1491711a38280
15487d813d049
hex2655e974368

2634401923944 has 128 divisors (see below), whose sum is σ = 7770379591680. Its totient is φ = 728339040000.

The previous prime is 2634401923939. The next prime is 2634401923957. The reversal of 2634401923944 is 4493291044362.

2634401923944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90047319 + ... + 90076569.

It is an arithmetic number, because the mean of its divisors is an integer number (60706090560).

Almost surely, 22634401923944 is an apocalyptic number.

2634401923944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2634401923944 is an abundant number, since it is smaller than the sum of its proper divisors (5135977667736).

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

2634401923944 is a wasteful number, since it uses less digits than its factorization.

2634401923944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46591 (or 46587 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 51.

The spelling of 2634401923944 in words is "two trillion, six hundred thirty-four billion, four hundred one million, nine hundred twenty-three thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 84 93 124 168 186 217 248 372 434 651 744 868 1302 1736 2604 5208 17293 29251 34586 51879 58502 69172 87753 103758 117004 121051 138344 175506 204757 207516 234008 242102 351012 363153 409514 415032 484204 536083 614271 702024 726306 819028 906781 968408 1072166 1228542 1452612 1608249 1638056 1813562 2144332 2457084 2720343 2905224 3216498 3627124 3752581 4288664 4914168 5440686 6347467 6432996 7254248 7505162 10881372 11257743 12694934 12865992 15010324 19042401 21762744 22515486 25389868 30020648 38084802 45030972 50779736 76169604 90061944 152339208 505837543 1011675086 1517512629 2023350172 3035025258 3540862801 4046700344 6070050516 7081725602 10622588403 12140101032 14163451204 15680963833 21245176806 28326902408 31361927666 42490353612 47042891499 62723855332 84980707224 94085782998 109766746831 125447710664 188171565996 219533493662 329300240493 376343131992 439066987324 658600480986 878133974648 1317200961972 2634401923944