Search a number
-
+
2353905400236 = 22313431194129387
BaseRepresentation
bin100010010000001111101…
…100011111100110101100
322100000211201021221022020
4202100033230133212230
5302031244240301421
65001211425550140
7332030653525605
oct42201754374654
98300751257266
102353905400236
11828316261135
123202521a5350
13140c842818c0
1481d02c8cdac
154136cd1bdc6
hex2240fb1f9ac

2353905400236 has 96 divisors (see below), whose sum is σ = 6053211403008. Its totient is φ = 707351581440.

The previous prime is 2353905400211. The next prime is 2353905400243. The reversal of 2353905400236 is 6320045093532.

2353905400236 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80085535 + ... + 80114921.

It is an arithmetic number, because the mean of its divisors is an integer number (63054285448).

Almost surely, 22353905400236 is an apocalyptic number.

2353905400236 is a gapful number since it is divisible by the number (26) 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 2353905400236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3026605701504).

2353905400236 is an abundant number, since it is smaller than the sum of its proper divisors (3699306002772).

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

2353905400236 is a wasteful number, since it uses less digits than its factorization.

2353905400236 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41391 (or 41389 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 42.

The spelling of 2353905400236 in words is "two trillion, three hundred fifty-three billion, nine hundred five million, four hundred thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 12 13 26 39 43 52 78 86 129 156 172 258 516 559 1118 1677 2236 3354 6708 11941 23882 29387 35823 47764 58774 71646 88161 117548 143292 155233 176322 310466 352644 382031 465699 513463 620932 764062 931398 1026926 1146093 1263641 1528124 1540389 1862796 2053852 2292186 2527282 3080778 3790923 4584372 5054564 6161556 6675019 7581846 13350038 15163692 16427333 20025057 26700076 32854666 40050114 49281999 65709332 80100228 98563998 197127996 350910167 701820334 1052730501 1403640668 2105461002 4210922004 4561832171 9123664342 13685496513 15089137181 18247328684 27370993026 30178274362 45267411543 54741986052 60356548724 90534823086 181069646172 196158783353 392317566706 588476350059 784635133412 1176952700118 2353905400236