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1083420640225 = 527113717984979
BaseRepresentation
bin11111100010000001110…
…01110000001111100001
310211120111110002000201201
433301000321300033201
5120222321140441400
62145414440201201
7141163113331450
oct17610071601741
93746443060651
101083420640225
11388526785670
12155b83469201
137b220ca2111
143a61b602b97
151d2b01b806a
hexfc40e703e1

1083420640225 has 96 divisors (see below), whose sum is σ = 1729839283200. Its totient is φ = 653446828800.

The previous prime is 1083420640193. The next prime is 1083420640229. The reversal of 1083420640225 is 5220460243801.

It is not a de Polignac number, because 1083420640225 - 25 = 1083420640193 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is not an unprimeable number, because it can be changed into a prime (1083420640229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12706786 + ... + 12791764.

It is an arithmetic number, because the mean of its divisors is an integer number (18019159200).

Almost surely, 21083420640225 is an apocalyptic number.

It is an amenable number.

1083420640225 is a deficient number, since it is larger than the sum of its proper divisors (646418642975).

1083420640225 is a wasteful number, since it uses less digits than its factorization.

1083420640225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85223 (or 85218 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 37.

The spelling of 1083420640225 in words is "one trillion, eighty-three billion, four hundred twenty million, six hundred forty thousand, two hundred twenty-five".

Divisors: 1 5 7 11 25 35 37 55 77 175 179 185 259 275 385 407 895 925 1253 1295 1925 1969 2035 2849 4475 6265 6475 6623 9845 10175 13783 14245 31325 33115 46361 49225 68915 71225 72853 84979 165575 231805 344575 364265 424895 509971 594853 934769 1159025 1821325 2124475 2549855 2974265 3144223 4673845 6543383 12749275 14871325 15211241 15721115 22009561 23369225 32716915 34586453 76056205 78605575 106478687 110047805 163584575 167323651 172932265 242105171 380281025 532393435 550239025 562815917 836618255 864661325 1171265557 1210525855 2661967175 2814079585 3939711419 4183091275 5856327785 6052629275 6190975087 14070397925 19698557095 29281638925 30954875435 43336825609 98492785475 154774377175 216684128045 1083420640225