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5021133840 = 243353762827
BaseRepresentation
bin1001010110100100…
…00110110000010000
3110221221011000202000
410223102012300100
540240402240330
62150124154000
7235266635112
oct45322066020
913857130660
105021133840
112147332198
12b81698900
1362034b118
14358c033b2
151e5c2d560
hex12b486c10

5021133840 has 160 divisors (see below), whose sum is σ = 17762732160. Its totient is φ = 1302759936.

The previous prime is 5021133797. The next prime is 5021133881. The reversal of 5021133840 is 483311205.

It is a happy number.

5021133840 is a `hidden beast` number, since 502 + 113 + 3 + 8 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48507 + ... + 111333.

It is an arithmetic number, because the mean of its divisors is an integer number (111017076).

Almost surely, 25021133840 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 5021133840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8881366080).

5021133840 is an abundant number, since it is smaller than the sum of its proper divisors (12741598320).

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

5021133840 is a wasteful number, since it uses less digits than its factorization.

5021133840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62886 (or 62874 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 5021133840 is about 70859.9593564659. The cubic root of 5021133840 is about 1712.3817840857.

The spelling of 5021133840 in words is "five billion, twenty-one million, one hundred thirty-three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 37 40 45 48 54 60 72 74 80 90 108 111 120 135 144 148 180 185 216 222 240 270 296 333 360 370 432 444 540 555 592 666 720 740 888 999 1080 1110 1332 1480 1665 1776 1998 2160 2220 2664 2960 3330 3996 4440 4995 5328 6660 7992 8880 9990 13320 15984 19980 26640 39960 62827 79920 125654 188481 251308 314135 376962 502616 565443 628270 753924 942405 1005232 1130886 1256540 1507848 1696329 1884810 2261772 2324599 2513080 2827215 3015696 3392658 3769620 4523544 4649198 5026160 5654430 6785316 6973797 7539240 8481645 9047088 9298396 11308860 11622995 13570632 13947594 15078480 16963290 18596792 20921391 22617720 23245990 27141264 27895188 33926580 34868985 37193584 41842782 45235440 46491980 55790376 62764173 67853160 69737970 83685564 92983960 104606955 111580752 125528346 135706320 139475940 167371128 185967920 209213910 251056692 278951880 313820865 334742256 418427820 502113384 557903760 627641730 836855640 1004226768 1255283460 1673711280 2510566920 5021133840