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23540762640 = 2435313164081
BaseRepresentation
bin10101111011001000…
…111000100000010000
32020202121002122110210
4111323020320200100
5341202413401030
614451532124120
71462235116023
oct257310704020
966677078423
1023540762640
119a9016843a
12468b906640
1322b2116c65
1411d46551ba
1592ba2abb0
hex57b238810

23540762640 has 80 divisors (see below), whose sum is σ = 75330464256. Its totient is φ = 6075033600.

The previous prime is 23540762603. The next prime is 23540762647. The reversal of 23540762640 is 4626704532.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (23540762647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1574601 + ... + 1589480.

Almost surely, 223540762640 is an apocalyptic number.

23540762640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23540762640 is an abundant number, since it is smaller than the sum of its proper divisors (51789701616).

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

23540762640 is a wasteful number, since it uses less digits than its factorization.

23540762640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3164128 (or 3164122 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 39.

The spelling of 23540762640 in words is "twenty-three billion, five hundred forty million, seven hundred sixty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 372 465 496 620 744 930 1240 1488 1860 2480 3720 7440 3164081 6328162 9492243 12656324 15820405 18984486 25312648 31640810 37968972 47461215 50625296 63281620 75937944 94922430 98086511 126563240 151875888 189844860 196173022 253126480 294259533 379689720 392346044 490432555 588519066 759379440 784692088 980865110 1177038132 1471297665 1569384176 1961730220 2354076264 2942595330 3923460440 4708152528 5885190660 7846920880 11770381320 23540762640