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52132441400 = 235213171179467
BaseRepresentation
bin110000100011010101…
…011110110100111000
311222120012101102021222
4300203111132310320
51323231401111100
635541015051212
73523614304034
oct604325366470
9158505342258
1052132441400
1120122449916
12a12b070b08
134bba7a8b80
142747a231c4
151551bb9485
hexc2355ed38

52132441400 has 96 divisors (see below), whose sum is σ = 138210060240. Its totient is φ = 18116597760.

The previous prime is 52132441399. The next prime is 52132441489. The reversal of 52132441400 is 414423125.

52132441400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 52132441400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 545534 + ... + 633933.

Almost surely, 252132441400 is an apocalyptic number.

52132441400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

52132441400 is an abundant number, since it is smaller than the sum of its proper divisors (86077618840).

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

52132441400 is a wasteful number, since it uses less digits than its factorization.

52132441400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1179513 (or 1179504 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

Adding to 52132441400 its reverse (414423125), we get a palindrome (52546864525).

The spelling of 52132441400 in words is "fifty-two billion, one hundred thirty-two million, four hundred forty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 17 20 25 26 34 40 50 52 65 68 85 100 104 130 136 170 200 221 260 325 340 425 442 520 650 680 850 884 1105 1300 1700 1768 2210 2600 3400 4420 5525 8840 11050 22100 44200 1179467 2358934 4717868 5897335 9435736 11794670 15333071 20050939 23589340 29486675 30666142 40101878 47178680 58973350 61332284 76665355 80203756 100254695 117946700 122664568 153330710 160407512 200509390 235893400 260662207 306661420 383326775 401018780 501273475 521324414 613322840 766653550 802037560 1002546950 1042648828 1303311035 1533307100 2005093900 2085297656 2606622070 3066614200 4010187800 5213244140 6516555175 10426488280 13033110350 26066220700 52132441400