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100052465352 = 23372421202087
BaseRepresentation
bin101110100101110010…
…1110111011011001000
3100120020211100212011220
41131023211313123020
53114401412342402
6113544035322040
710141251631500
oct1351345673310
9316224325156
10100052465352
11394830100a4
1217483450320
13958664c028
144bb1ddaa00
152908b4edbc
hex174b9776c8

100052465352 has 96 divisors (see below), whose sum is σ = 291661485120. Its totient is φ = 28518376320.

The previous prime is 100052465299. The next prime is 100052465413. The reversal of 100052465352 is 253564250001.

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, 394053 + ... + 596139.

It is an arithmetic number, because the mean of its divisors is an integer number (3038140470).

Almost surely, 2100052465352 is an apocalyptic number.

100052465352 is a gapful number since it is divisible by the number (12) 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 100052465352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145830742560).

100052465352 is an abundant number, since it is smaller than the sum of its proper divisors (191609019768).

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

100052465352 is a wasteful number, since it uses less digits than its factorization.

100052465352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202531 (or 202520 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 33.

The spelling of 100052465352 in words is "one hundred billion, fifty-two million, four hundred sixty-five thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 421 588 842 1176 1263 1684 2526 2947 3368 5052 5894 8841 10104 11788 17682 20629 23576 35364 41258 61887 70728 82516 123774 165032 202087 247548 404174 495096 606261 808348 1212522 1414609 1616696 2425044 2829218 4243827 4850088 5658436 8487654 9902263 11316872 16975308 19804526 29706789 33950616 39609052 59413578 79218104 85078627 118827156 170157254 237654312 255235881 340314508 510471762 595550389 680629016 1020943524 1191100778 1786651167 2041887048 2382201556 3573302334 4168852723 4764403112 7146604668 8337705446 12506558169 14293209336 16675410892 25013116338 33350821784 50026232676 100052465352