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209802320992 = 25114333741131
BaseRepresentation
bin1100001101100100110…
…0010101110001100000
3202001112111002012000001
43003121030111301200
511414133343232432
6240214251505344
721105045206215
oct3033114256140
9661474065001
10209802320992
1180a81a39030
12347b2458254
1316a27085904
14a223ca7b0c
1556cdcd59e7
hex30d9315c60

209802320992 has 96 divisors (see below), whose sum is σ = 462456618624. Its totient is φ = 92868249600.

The previous prime is 209802320969. The next prime is 209802320993. The reversal of 209802320992 is 299023208902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (209802320993) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5080267 + ... + 5121397.

It is an arithmetic number, because the mean of its divisors is an integer number (4817256444).

Almost surely, 2209802320992 is an apocalyptic number.

209802320992 is a gapful number since it is divisible by the number (22) 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 209802320992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231228309312).

209802320992 is an abundant number, since it is smaller than the sum of its proper divisors (252654297632).

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

209802320992 is a wasteful number, since it uses less digits than its factorization.

209802320992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41532 (or 41524 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 46.

The spelling of 209802320992 in words is "two hundred nine billion, eight hundred two million, three hundred twenty thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 32 43 44 86 88 172 176 337 344 352 473 674 688 946 1348 1376 1892 2696 3707 3784 5392 7414 7568 10784 14491 14828 15136 28982 29656 41131 57964 59312 82262 115928 118624 159401 164524 231856 318802 329048 452441 463712 637604 658096 904882 1275208 1316192 1768633 1809764 2550416 3537266 3619528 5100832 7074532 7239056 13861147 14149064 14478112 19454963 27722294 28298128 38909926 55444588 56596256 77819852 110889176 152472617 155639704 221778352 304945234 311279408 443556704 596029321 609890468 622558816 1192058642 1219780936 2384117284 2439561872 4768234568 4879123744 6556322531 9536469136 13112645062 19072938272 26225290124 52450580248 104901160496 209802320992