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214523650816 = 2819436191657
BaseRepresentation
bin1100011111001010011…
…0110010001100000000
3202111201112002120221121
43013302212302030000
512003321023311231
6242314550202024
721333044642206
oct3076246621400
9674645076847
10214523650816
1182a85010002
12356ab653314
13172ca2741b7
14a550d49076
1558a8543311
hex31f29b2300

214523650816 has 144 divisors (see below), whose sum is σ = 462253052800. Its totient is φ = 99033145344.

The previous prime is 214523650807. The next prime is 214523650871. The reversal of 214523650816 is 618056325412.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129464260 + ... + 129465916.

Almost surely, 2214523650816 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 214523650816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231126526400).

214523650816 is an abundant number, since it is smaller than the sum of its proper divisors (247729401984).

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

214523650816 is a wasteful number, since it uses less digits than its factorization.

214523650816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2354 (or 2340 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 43.

The spelling of 214523650816 in words is "two hundred fourteen billion, five hundred twenty-three million, six hundred fifty thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 19 32 38 43 64 76 86 128 152 172 256 304 344 608 619 688 817 1216 1238 1376 1634 1657 2432 2476 2752 3268 3314 4864 4952 5504 6536 6628 9904 11008 11761 13072 13256 19808 23522 26144 26512 26617 31483 39616 47044 52288 53024 53234 62966 71251 79232 94088 104576 106048 106468 125932 142502 158464 188176 209152 212096 212936 251864 285004 376352 424192 425872 503728 505723 570008 752704 851744 1007456 1011446 1025683 1140016 1353769 1505408 1703488 2014912 2022892 2051366 2280032 2707538 3010816 3406976 4029824 4045784 4102732 4560064 5415076 6813952 8059648 8091568 8205464 9120128 10830152 16183136 16410928 18240256 19487977 21660304 32366272 32821856 38975954 43320608 44104369 64732544 65643712 77951908 86641216 88208738 129465088 131287424 155903816 173282432 176417476 262574848 311807632 346564864 352834952 623615264 705669904 837983011 1247230528 1411339808 1675966022 2494461056 2822679616 3351932044 4988922112 5645359232 6703864088 11290718464 13407728176 26815456352 53630912704 107261825408 214523650816