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2552144020614 = 2321937210974969
BaseRepresentation
bin100101001000110111101…
…000110100010010000110
3100000222112022020021012100
4211020313220310102012
5313303242332124424
65232234435332530
7352246336146216
oct45106750642206
910028468207170
102552144020614
118a43a38467a1
12352757a51146
131568876b35c6
148b74b06c246
15465c1815dc9
hex25237a34486

2552144020614 has 144 divisors (see below), whose sum is σ = 5988905067600. Its totient is φ = 783285562368.

The previous prime is 2552144020567. The next prime is 2552144020619. The reversal of 2552144020614 is 4160204412552.

2552144020614 is a `hidden beast` number, since 2 + 5 + 5 + 2 + 1 + 440 + 206 + 1 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2552144020619) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 513610722 + ... + 513615690.

It is an arithmetic number, because the mean of its divisors is an integer number (41589618525).

Almost surely, 22552144020614 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2552144020614, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2994452533800).

2552144020614 is an abundant number, since it is smaller than the sum of its proper divisors (3436761046986).

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

2552144020614 is a wasteful number, since it uses less digits than its factorization.

2552144020614 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6167 (or 6127 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 2552144020614 in words is "two trillion, five hundred fifty-two billion, one hundred forty-four million, twenty thousand, six hundred fourteen".

Divisors: 1 2 3 6 9 18 19 37 38 57 74 111 114 171 222 333 342 666 703 1097 1369 1406 2109 2194 2738 3291 4107 4218 4969 6327 6582 8214 9873 9938 12321 12654 14907 19746 20843 24642 26011 29814 40589 41686 44721 52022 62529 78033 81178 89442 94411 121767 125058 156066 183853 187587 188822 234099 243534 283233 365301 367706 375174 468198 551559 566466 730602 771191 849699 1103118 1501793 1542382 1654677 1699398 2313573 3003586 3309354 3493207 4505379 4627146 5450993 6802561 6940719 6986414 9010758 10479621 10901986 13516137 13605122 13881438 16352979 20407683 20959242 27032274 28534067 31438863 32705958 40815366 49058937 57068134 61223049 62877726 85602201 98117874 103568867 122446098 129248659 171204402 201686741 207137734 256806603 258497318 310706601 387745977 403373482 513613206 605060223 621413202 775491954 932119803 1163237931 1210120446 1815180669 1864239606 2326475862 3630361338 3832048079 7462409417 7664096158 11496144237 14924818834 22387228251 22992288474 34488432711 44774456502 67161684753 68976865422 134323369506 141785778923 283571557846 425357336769 850714673538 1276072010307 2552144020614