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5366386900 = 2252721397879
BaseRepresentation
bin1001111111101110…
…01001000011010100
3111211222210200220101
410333313021003110
541442243340100
62244300143444
7246661351600
oct47767110324
914758720811
105366386900
1123042049a6
121059237b84
13676a31784
1438c9d6500
152161ca86a
hex13fdc90d4

5366386900 has 108 divisors (see below), whose sum is σ = 13645480800. Its totient is φ = 1826435520.

The previous prime is 5366386853. The next prime is 5366386901. The reversal of 5366386900 is 96836635.

It is a super-2 number, since 2×53663869002 = 57596216720983220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5366386901) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 677161 + ... + 685039.

Almost surely, 25366386900 is an apocalyptic number.

5366386900 is a gapful number since it is divisible by the number (50) 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 5366386900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6822740400).

5366386900 is an abundant number, since it is smaller than the sum of its proper divisors (8279093900).

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

5366386900 is a wasteful number, since it uses less digits than its factorization.

5366386900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8046 (or 8032 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 46.

The square root of 5366386900 is about 73255.6270876170. The cubic root of 5366386900 is about 1750.7628673993.

The spelling of 5366386900 in words is "five billion, three hundred sixty-six million, three hundred eighty-six thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 139 140 175 196 245 278 350 490 556 695 700 973 980 1225 1390 1946 2450 2780 3475 3892 4865 4900 6811 6950 7879 9730 13622 13900 15758 19460 24325 27244 31516 34055 39395 48650 55153 68110 78790 97300 110306 136220 157580 170275 196975 220612 275765 340550 386071 393950 551530 681100 772142 787900 1095181 1103060 1378825 1544284 1930355 2190362 2757650 3860710 4380724 5475905 5515300 7666267 7721420 9651775 10951810 15332534 19303550 21903620 27379525 30665068 38331335 38607100 53663869 54759050 76662670 107327738 109518100 153325340 191656675 214655476 268319345 383313350 536638690 766626700 1073277380 1341596725 2683193450 5366386900