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35053211040 = 2535631115733
BaseRepresentation
bin100000101001010101…
…011000110110100000
310100110220210121202120
4200221111120312200
51033242110223130
624034143544240
72350436243361
oct405125306640
9110426717676
1035053211040
1113958695301
1269632bb080
1333c82647c3
1419a75dbb68
15da2591910
hex829558da0

35053211040 has 96 divisors (see below), whose sum is σ = 110593558656. Its totient is φ = 9332628480.

The previous prime is 35053211027. The next prime is 35053211051. The reversal of 35053211040 is 4011235053.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 35053211040.

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, 245014 + ... + 360746.

It is an arithmetic number, because the mean of its divisors is an integer number (1152016236).

Almost surely, 235053211040 is an apocalyptic number.

35053211040 is a gapful number since it is divisible by the number (30) 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 35053211040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55296779328).

35053211040 is an abundant number, since it is smaller than the sum of its proper divisors (75540347616).

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

35053211040 is a wasteful number, since it uses less digits than its factorization.

35053211040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116382 (or 116374 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

Adding to 35053211040 its reverse (4011235053), we get a palindrome (39064446093).

The spelling of 35053211040 in words is "thirty-five billion, fifty-three million, two hundred eleven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 631 1262 1893 2524 3155 3786 5048 6310 7572 9465 10096 12620 15144 18930 20192 25240 30288 37860 50480 60576 75720 100960 115733 151440 231466 302880 347199 462932 578665 694398 925864 1157330 1388796 1735995 1851728 2314660 2777592 3471990 3703456 4629320 5555184 6943980 9258640 11110368 13887960 18517280 27775920 55551840 73027523 146055046 219082569 292110092 365137615 438165138 584220184 730275230 876330276 1095412845 1168440368 1460550460 1752660552 2190825690 2336880736 2921100920 3505321104 4381651380 5842201840 7010642208 8763302760 11684403680 17526605520 35053211040