Search a number
-
+
553450504213656 = 2333717711032944303
BaseRepresentation
bin111110111010111000011110…
…0101101000101010010011000
32200120121100111020011102202000
41331311300330231011102120
51040020213113034314111
65241031352431241000
7224401323301443420
oct17565607455052230
92616540436142660
10553450504213656
1115038a04a227185
12520a64ba079160
131a9a820a5c388a
149a9520c3c1480
1543eb7b743bc56
hex1f75c3cb45498

553450504213656 has 512 divisors, whose sum is σ = 1904856337612800. Its totient is φ = 145306250127360.

The previous prime is 553450504213573. The next prime is 553450504213661. The reversal of 553450504213656 is 656312405054355.

553450504213656 is a `hidden beast` number, since 5 + 5 + 3 + 4 + 50 + 504 + 2 + 1 + 36 + 56 = 666.

It is a super-2 number, since 2×5534505042136562 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 186501201 + ... + 189445503.

It is an arithmetic number, because the mean of its divisors is an integer number (3720422534400).

Almost surely, 2553450504213656 is an apocalyptic number.

553450504213656 is a gapful number since it is divisible by the number (56) 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 553450504213656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (952428168806400).

553450504213656 is an abundant number, since it is smaller than the sum of its proper divisors (1351405833399144).

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

553450504213656 is a wasteful number, since it uses less digits than its factorization.

553450504213656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2944516 (or 2944506 counting only the distinct ones).

The product of its (nonzero) digits is 32400000, while the sum is 54.

The spelling of 553450504213656 in words is "five hundred fifty-three trillion, four hundred fifty billion, five hundred four million, two hundred thirteen thousand, six hundred fifty-six".