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31312364208 = 24373101103859
BaseRepresentation
bin11101001010010111…
…001100001010110000
32222211012201220121220
4131022113030022300
51003111431123313
622215032345040
72155643463366
oct351227141260
988735656556
1031312364208
1112309016754
12609a545180
132c5023ba78
141730867636
15c33e5c823
hex74a5cc2b0

31312364208 has 160 divisors (see below), whose sum is σ = 83711546880. Its totient is φ = 10081843200.

The previous prime is 31312364203. The next prime is 31312364219. The reversal of 31312364208 is 80246321313.

It is a Cunningham number, because it is equal to 1769532-1.

It is not an unprimeable number, because it can be changed into a prime (31312364203) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36451683 + ... + 36452541.

It is an arithmetic number, because the mean of its divisors is an integer number (523197168).

Almost surely, 231312364208 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 31312364208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41855773440).

31312364208 is an abundant number, since it is smaller than the sum of its proper divisors (52399182672).

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

31312364208 is a wasteful number, since it uses less digits than its factorization.

31312364208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1147 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The spelling of 31312364208 in words is "thirty-one billion, three hundred twelve million, three hundred sixty-four thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 73 101 103 146 202 206 219 292 303 309 404 412 438 584 606 618 808 824 859 876 1168 1212 1236 1616 1648 1718 1752 2424 2472 2577 3436 3504 4848 4944 5154 6872 7373 7519 10308 10403 13744 14746 15038 20616 20806 22119 22557 29492 30076 31209 41232 41612 44238 45114 58984 60152 62418 62707 83224 86759 88476 88477 90228 117968 120304 124836 125414 166448 173518 176952 176954 180456 188121 249672 250828 260277 265431 347036 353904 353908 360912 376242 499344 501656 520554 530862 694072 707816 752484 759419 1003312 1041108 1061724 1388144 1415632 1504968 1518838 2082216 2123448 2278257 3009936 3037676 4164432 4246896 4556514 6075352 6333407 6458821 8936177 9113028 12150704 12666814 12917642 17872354 18226056 19000221 19376463 25333628 25835284 26808531 35744708 36452112 38000442 38752926 50667256 51670568 53617062 71489416 76000884 77505852 101334512 103341136 107234124 142978832 152001768 155011704 214468248 304003536 310023408 428936496 652340921 1304681842 1957022763 2609363684 3914045526 5218727368 7828091052 10437454736 15656182104 31312364208