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152142863820 = 223589103327581
BaseRepresentation
bin1000110110110001101…
…0111101110111001100
3112112201002122021102020
42031230122331313030
54443042033120240
6153520553330140
713664146001433
oct2155432756714
9475632567366
10152142863820
1159583753492
12255a0406950
13114684c750c
1475141d811a
153e56cb20d0
hex236c6bddcc

152142863820 has 96 divisors (see below), whose sum is σ = 431219194560. Its totient is φ = 40075284480.

The previous prime is 152142863771. The next prime is 152142863857. The reversal of 152142863820 is 28368241251.

It is a super-2 number, since 2×1521428638202 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5502430 + ... + 5530010.

It is an arithmetic number, because the mean of its divisors is an integer number (4491866610).

Almost surely, 2152142863820 is an apocalyptic number.

152142863820 is a gapful number since it is divisible by the number (10) 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 152142863820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215609597280).

152142863820 is an abundant number, since it is smaller than the sum of its proper divisors (279076330740).

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

152142863820 is a wasteful number, since it uses less digits than its factorization.

152142863820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28715 (or 28713 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The spelling of 152142863820 in words is "one hundred fifty-two billion, one hundred forty-two million, eight hundred sixty-three thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 89 178 267 356 445 534 890 1033 1068 1335 1780 2066 2670 3099 4132 5165 5340 6198 10330 12396 15495 20660 27581 30990 55162 61980 82743 91937 110324 137905 165486 183874 275810 275811 330972 367748 413715 459685 551620 551622 827430 919370 1103244 1379055 1654860 1838740 2454709 2758110 4909418 5516220 7364127 9818836 12273545 14728254 24547090 28491173 29456508 36820635 49094180 56982346 73641270 85473519 113964692 142455865 147282540 170947038 284911730 341894076 427367595 569823460 854735190 1709470380 2535714397 5071428794 7607143191 10142857588 12678571985 15214286382 25357143970 30428572764 38035715955 50714287940 76071431910 152142863820