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210119984688 = 243101103341957
BaseRepresentation
bin1100001110110000100…
…0001000011000110000
3202002100121211011200010
43003230020020120300
511420311204002223
6240310000254520
721115653254355
oct3035410103060
9662317734603
10210119984688
1181125287509
1234880911440
1316a77b295b3
14a25415862c
1556ebb33393
hex30ec208630

210119984688 has 80 divisors (see below), whose sum is σ = 548728066656. Its totient is φ = 69277747200.

The previous prime is 210119984681. The next prime is 210119984729. The reversal of 210119984688 is 886489911012.

It is a super-5 number, since 5×2101199846885 (a number of 58 digits) contains 55555 as substring.

It is not an unprimeable number, because it can be changed into a prime (210119984681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4987006 + ... + 5028962.

Almost surely, 2210119984688 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 210119984688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274364033328).

210119984688 is an abundant number, since it is smaller than the sum of its proper divisors (338608081968).

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

210119984688 is a wasteful number, since it uses less digits than its factorization.

210119984688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43102 (or 43096 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 57.

The spelling of 210119984688 in words is "two hundred ten billion, one hundred nineteen million, nine hundred eighty-four thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 101 202 303 404 606 808 1033 1212 1616 2066 2424 3099 4132 4848 6198 8264 12396 16528 24792 41957 49584 83914 104333 125871 167828 208666 251742 312999 335656 417332 503484 625998 671312 834664 1006968 1251996 1669328 2013936 2503992 4237657 5007984 8475314 12712971 16950628 25425942 33901256 43341581 50851884 67802512 86683162 101703768 130024743 173366324 203407536 260049486 346732648 520098972 693465296 1040197944 2080395888 4377499681 8754999362 13132499043 17509998724 26264998086 35019997448 52529996172 70039994896 105059992344 210119984688