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153500053454540 = 225131734256980167
BaseRepresentation
bin100010111001101110000100…
…001010001011111011001100
3202010111110110122112112221222
4202321232010022023323030
5130104421102141021130
61302244541232342512
744222004264223232
oct4271560412137314
9663443418475858
10153500053454540
1144a01009489641
12152714093a4a38
136785cba611490
1429c962968c952
1512b2d4e314ce5
hex8b9b8428becc

153500053454540 has 96 divisors (see below), whose sum is σ = 349165458069120. Its totient is φ = 56347303827456.

The previous prime is 153500053454521. The next prime is 153500053454591. The reversal of 153500053454540 is 45454350005351.

It is a happy number.

It is a super-2 number, since 2×1535000534545402 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 153500053454491 and 153500053454500.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1914713537 + ... + 1914793703.

It is an arithmetic number, because the mean of its divisors is an integer number (3637140188220).

Almost surely, 2153500053454540 is an apocalyptic number.

153500053454540 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 153500053454540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174582729034560).

153500053454540 is an abundant number, since it is smaller than the sum of its proper divisors (195665404614580).

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

153500053454540 is a wasteful number, since it uses less digits than its factorization.

153500053454540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122931 (or 122929 counting only the distinct ones).

The product of its (nonzero) digits is 1800000, while the sum is 44.

The spelling of 153500053454540 in words is "one hundred fifty-three trillion, five hundred billion, fifty-three million, four hundred fifty-four thousand, five hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 173 260 346 692 865 1730 2249 3460 4498 8996 11245 22490 42569 44980 80167 85138 160334 170276 212845 320668 400835 425690 553397 801670 851380 1042171 1106794 1603340 2084342 2213588 2766985 4168684 5210855 5533970 7364437 10421710 11067940 13868891 14728874 20843420 27737782 29457748 36822185 55475564 69344455 73644370 95737681 138688910 147288740 180295583 191475362 277377820 360591166 382950724 478688405 721182332 901477915 957376810 1802955830 1914753620 3412629023 3605911660 6825258046 13650516092 17063145115 34126290230 44364177299 68252580460 88728354598 177456709196 221820886495 443641772990 590384820979 887283545980 1180769641958 2361539283916 2951924104895 5903848209790 7675002672727 11807696419580 15350005345454 30700010690908 38375013363635 76750026727270 153500053454540