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153642060340 = 22523920336293
BaseRepresentation
bin1000111100010111000…
…1111100101000110100
3112200120120122100102021
42033011301330220310
510004124331412330
6154325430322524
714046251651656
oct2170561745064
9480516570367
10153642060340
115a182a34a7a
122593a4b9444
1311646c97b52
14761736c6d6
153ee36ed67a
hex23c5c7ca34

153642060340 has 48 divisors (see below), whose sum is σ = 336722375808. Its totient is φ = 58776781184.

The previous prime is 153642060337. The next prime is 153642060371. The reversal of 153642060340 is 43060246351.

153642060340 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 153642060296 and 153642060305.

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 15 ways as a sum of consecutive naturals, for example, 4215234 + ... + 4251526.

It is an arithmetic number, because the mean of its divisors is an integer number (7015049496).

Almost surely, 2153642060340 is an apocalyptic number.

153642060340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

153642060340 is an abundant number, since it is smaller than the sum of its proper divisors (183080315468).

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

153642060340 is a wasteful number, since it uses less digits than its factorization.

153642060340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45528 (or 45526 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 34.

The spelling of 153642060340 in words is "one hundred fifty-three billion, six hundred forty-two million, sixty thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 460 9203 18406 36293 36812 46015 72586 92030 145172 181465 184060 211669 362930 423338 725860 834739 846676 1058345 1669478 2116690 3338956 4173695 4233380 8347390 16694780 334004479 668008958 1336017916 1670022395 3340044790 6680089580 7682103017 15364206034 30728412068 38410515085 76821030170 153642060340