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1053166605064 = 237107415742281
BaseRepresentation
bin11110101001101011001…
…11110001001100001000
310201200101222202210121221
433110311213301030020
5114223341122330224
62123452411211424
7136042310303350
oct17246547611410
93650358683557
101053166605064
11376711102222
1215013b446b74
137840c0b3a72
1438d8b54bb60
151c5de10e6e4
hexf5359f1308

1053166605064 has 64 divisors (see below), whose sum is σ = 2278478885760. Its totient is φ = 447020689920.

The previous prime is 1053166605013. The next prime is 1053166605077. The reversal of 1053166605064 is 4605066613501.

1053166605064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10531666050642 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1053166605064.

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, 24887604 + ... + 24929884.

It is an arithmetic number, because the mean of its divisors is an integer number (35601232590).

Almost surely, 21053166605064 is an apocalyptic number.

1053166605064 is a gapful number since it is divisible by the number (14) 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 1053166605064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1139239442880).

1053166605064 is an abundant number, since it is smaller than the sum of its proper divisors (1225312280696).

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

1053166605064 is a wasteful number, since it uses less digits than its factorization.

1053166605064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46558 (or 46554 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 43.

The spelling of 1053166605064 in words is "one trillion, fifty-three billion, one hundred sixty-six million, six hundred five thousand, sixty-four".

Divisors: 1 2 4 7 8 14 28 56 107 214 428 749 856 1498 2996 4157 5992 8314 16628 29099 33256 42281 58198 84562 116396 169124 232792 295967 338248 444799 591934 889598 1183868 1779196 2367736 3113593 3558392 4524067 6227186 9048134 12454372 18096268 24908744 31668469 36192536 63336938 126673876 175762117 253347752 351524234 703048468 1230334819 1406096936 2460669638 4921339276 9842678552 18806546519 37613093038 75226186076 131645825633 150452372152 263291651266 526583302532 1053166605064