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1682103530814 = 237224043237967
BaseRepresentation
bin11000011110100101001…
…011101111010100111110
312221210210200112222202220
4120132211023233110332
5210024422000441224
63324425300230210
7232346044046400
oct30364513572476
95853720488686
101682103530814
11599415655393
1223200509b366
13c2810ab3b35
145b5b2990b70
152db4e5b6279
hex187a52ef53e

1682103530814 has 48 divisors (see below), whose sum is σ = 3913644572928. Its totient is φ = 480579000048.

The previous prime is 1682103530753. The next prime is 1682103530827. The reversal of 1682103530814 is 4180353012861.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6949659 + ... + 7187625.

It is an arithmetic number, because the mean of its divisors is an integer number (81534261936).

Almost surely, 21682103530814 is an apocalyptic number.

1682103530814 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1682103530814 is an abundant number, since it is smaller than the sum of its proper divisors (2231541042114).

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

1682103530814 is a wasteful number, since it uses less digits than its factorization.

1682103530814 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262029 (or 262022 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 1682103530814 in words is "one trillion, six hundred eighty-two billion, one hundred three million, five hundred thirty thousand, eight hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 24043 48086 72129 144258 168301 237967 336602 475934 504903 713901 1009806 1178107 1427802 1665769 2356214 3331538 3534321 4997307 7068642 9994614 11660383 23320766 34981149 69962298 5721440581 11442881162 17164321743 34328643486 40050084067 80100168134 120150252201 240300504402 280350588469 560701176938 841051765407 1682103530814