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5367304640 = 26571337701
BaseRepresentation
bin1001111111110101…
…01001000111000000
3111212001112022210202
410333322221013000
541443012222030
62244331544332
7250002223325
oct47772510700
914761468722
105367304640
112304781465
1210595bb0a8
13676c93409
1438cb94b4c
1521630c745
hex13fea91c0

5367304640 has 112 divisors (see below), whose sum is σ = 13017910464. Its totient is φ = 2107392000.

The previous prime is 5367304603. The next prime is 5367304667. The reversal of 5367304640 is 464037635.

It is a junction number, because it is equal to n+sod(n) for n = 5367304594 and 5367304603.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7656290 + ... + 7656990.

Almost surely, 25367304640 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 5367304640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6508955232).

5367304640 is an abundant number, since it is smaller than the sum of its proper divisors (7650605824).

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

5367304640 is a wasteful number, since it uses less digits than its factorization.

5367304640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 38.

The square root of 5367304640 is about 73261.8907754912. The cubic root of 5367304640 is about 1750.8626647465.

The spelling of 5367304640 in words is "five billion, three hundred sixty-seven million, three hundred four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 71 80 142 160 284 320 337 355 568 674 701 710 1136 1348 1402 1420 1685 2272 2696 2804 2840 3370 3505 4544 5392 5608 5680 6740 7010 10784 11216 11360 13480 14020 21568 22432 22720 23927 26960 28040 44864 47854 49771 53920 56080 95708 99542 107840 112160 119635 191416 199084 224320 236237 239270 248855 382832 398168 472474 478540 497710 765664 796336 944948 957080 995420 1181185 1531328 1592672 1889896 1914160 1990840 2362370 3185344 3779792 3828320 3981680 4724740 7559584 7656640 7963360 9449480 15119168 15926720 16772827 18898960 33545654 37797920 67091308 75595840 83864135 134182616 167728270 268365232 335456540 536730464 670913080 1073460928 1341826160 2683652320 5367304640