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153345035740 = 225131722040791
BaseRepresentation
bin1000111011010000010…
…0111000110111011100
3112122210212201221021011
42032310010320313130
510003022312120430
6154240140145004
714036014204021
oct2166404706734
9478725657234
10153345035740
115a040302aa6
1225876b38164
13115ca59c450
1475c9b31548
153ec75cb22a
hex23b4138ddc

153345035740 has 72 divisors (see below), whose sum is σ = 368395608672. Its totient is φ = 53289108480.

The previous prime is 153345035699. The next prime is 153345035807. The reversal of 153345035740 is 47530543351.

153345035740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1533450357402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 153345035693 and 153345035702.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 945256 + ... + 1095535.

It is an arithmetic number, because the mean of its divisors is an integer number (5116605676).

Almost surely, 2153345035740 is an apocalyptic number.

153345035740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

153345035740 is an abundant number, since it is smaller than the sum of its proper divisors (215050572932).

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

153345035740 is a wasteful number, since it uses less digits than its factorization.

153345035740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2040847 (or 2040828 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 40.

The spelling of 153345035740 in words is "one hundred fifty-three billion, three hundred forty-five million, thirty-five thousand, seven hundred forty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 130 170 221 260 289 340 442 578 884 1105 1156 1445 2210 2890 3757 4420 5780 7514 15028 18785 37570 75140 2040791 4081582 8163164 10203955 20407910 26530283 34693447 40815820 53060566 69386894 106121132 132651415 138773788 173467235 265302830 346934470 451014811 530605660 589788599 693868940 902029622 1179577198 1804059244 2255074055 2359154396 2948942995 4510148110 5897885990 7667251787 9020296220 11795771980 15334503574 30669007148 38336258935 76672517870 153345035740