Search a number
-
+
1035055522520 = 235613071381769
BaseRepresentation
bin11110000111111100001…
…11011110001011011000
310122221122210120110222222
433003332013132023120
5113424243203210040
62111255320003212
7134531432530415
oct17037607361330
93587583513888
101035055522520
11369a67949908
12148726000508
13767b3b5c486
143815008710c
151bdce112bb5
hexf0fe1de2d8

1035055522520 has 64 divisors (see below), whose sum is σ = 2374765192800. Its totient is φ = 405908167680.

The previous prime is 1035055522517. The next prime is 1035055522537. The reversal of 1035055522520 is 252255505301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58196 + ... + 1439964.

Almost surely, 21035055522520 is an apocalyptic number.

1035055522520 is a gapful number since it is divisible by the number (10) 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 1035055522520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1187382596400).

1035055522520 is an abundant number, since it is smaller than the sum of its proper divisors (1339709670280).

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

1035055522520 is a wasteful number, since it uses less digits than its factorization.

1035055522520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1382148 (or 1382144 counting only the distinct ones).

The product of its (nonzero) digits is 75000, while the sum is 35.

The spelling of 1035055522520 in words is "one trillion, thirty-five billion, fifty-five million, five hundred twenty-two thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 61 122 244 305 307 488 610 614 1220 1228 1535 2440 2456 3070 6140 12280 18727 37454 74908 93635 149816 187270 374540 749080 1381769 2763538 5527076 6908845 11054152 13817690 27635380 55270760 84287909 168575818 337151636 421439545 424203083 674303272 842879090 848406166 1685758180 1696812332 2121015415 3371516360 3393624664 4242030830 8484061660 16968123320 25876388063 51752776126 103505552252 129381940315 207011104504 258763880630 517527761260 1035055522520