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53354415324 = 22372349955343
BaseRepresentation
bin110001101100001010…
…111100010011011100
312002201100202010101110
4301230022330103130
51333232212242244
640302150142020
73566113022160
oct615412742334
9162640663343
1053354415324
112069a1a3a21
12a410351910
1350539c5072
142822032ca0
1515c40e59b9
hexc6c2bc4dc

53354415324 has 96 divisors (see below), whose sum is σ = 148764672000. Its totient is φ = 14551846848.

The previous prime is 53354415253. The next prime is 53354415329. The reversal of 53354415324 is 42351445335.

53354415324 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53354415329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 936397 + ... + 991739.

It is an arithmetic number, because the mean of its divisors is an integer number (1549632000).

Almost surely, 253354415324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53354415324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74382336000).

53354415324 is an abundant number, since it is smaller than the sum of its proper divisors (95410256676).

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

53354415324 is a wasteful number, since it uses less digits than its factorization.

53354415324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55879 (or 55877 counting only the distinct ones).

The product of its digits is 432000, while the sum is 39.

The spelling of 53354415324 in words is "fifty-three billion, three hundred fifty-four million, four hundred fifteen thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 69 84 92 138 161 276 322 483 499 644 966 998 1497 1932 1996 2994 3493 5988 6986 10479 11477 13972 20958 22954 34431 41916 45908 55343 68862 80339 110686 137724 160678 166029 221372 241017 321356 332058 387401 482034 664116 774802 964068 1162203 1272889 1549604 2324406 2545778 3818667 4648812 5091556 7637334 8910223 15274668 17820446 26730669 27616157 35640892 53461338 55232314 82848471 106922676 110464628 165696942 193313099 331393884 386626198 579939297 635171611 773252396 1159878594 1270343222 1905514833 2319757188 2540686444 3811029666 4446201277 7622059332 8892402554 13338603831 17784805108 26677207662 53354415324