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5369621840 = 2451121374049
BaseRepresentation
bin1010000000000110…
…11110110101010000
3111212012220001101222
411000003132311100
541444110344330
62244453344212
7250031014112
oct50003366520
914765801358
105369621840
112306014400
12105a338068
136775c503b
1438d1d93b2
152166190e5
hex1400ded50

5369621840 has 120 divisors (see below), whose sum is σ = 13826068200. Its totient is φ = 1937858560.

The previous prime is 5369621827. The next prime is 5369621891. The reversal of 5369621840 is 481269635.

It can be written as a sum of positive squares in 4 ways, for example, as 282508864 + 5087112976 = 16808^2 + 71324^2 .

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 5369621791 and 5369621800.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1324136 + ... + 1328184.

It is an arithmetic number, because the mean of its divisors is an integer number (115217235).

Almost surely, 25369621840 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 5369621840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6913034100).

5369621840 is an abundant number, since it is smaller than the sum of its proper divisors (8456446360).

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

5369621840 is a wasteful number, since it uses less digits than its factorization.

5369621840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4221 (or 4204 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 44.

The square root of 5369621840 is about 73277.7035666375. The cubic root of 5369621840 is about 1751.1145922674.

The spelling of 5369621840 in words is "five billion, three hundred sixty-nine million, six hundred twenty-one thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 121 137 176 220 242 274 440 484 548 605 685 880 968 1096 1210 1370 1507 1936 2192 2420 2740 3014 4049 4840 5480 6028 7535 8098 9680 10960 12056 15070 16196 16577 20245 24112 30140 32392 33154 40490 44539 60280 64784 66308 80980 82885 89078 120560 132616 161960 165770 178156 222695 265232 323920 331540 356312 445390 489929 554713 663080 712624 890780 979858 1109426 1326160 1781560 1959716 2218852 2449645 2773565 3563120 3919432 4437704 4899290 5547130 6101843 7838864 8875408 9798580 11094260 12203686 19597160 22188520 24407372 30509215 39194320 44377040 48814744 61018430 67120273 97629488 122036860 134240546 244073720 268481092 335601365 488147440 536962184 671202730 1073924368 1342405460 2684810920 5369621840