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20252541040 = 2452416191697
BaseRepresentation
bin10010110111001001…
…010100000001110000
31221021102201200102121
4102313021110001300
5312434122303130
613145350124024
71314606521104
oct226711240160
957242650377
1020252541040
118653038926
123b12650614
131ba9ac9ac4
14da1a63904
157d8002d7a
hex4b7254070

20252541040 has 80 divisors (see below), whose sum is σ = 47386833120. Its totient is φ = 8049623040.

The previous prime is 20252541017. The next prime is 20252541091. The reversal of 20252541040 is 4014525202.

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

It is a junction number, because it is equal to n+sod(n) for n = 20252540996 and 20252541014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11933472 + ... + 11935168.

It is an arithmetic number, because the mean of its divisors is an integer number (592335414).

Almost surely, 220252541040 is an apocalyptic number.

20252541040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20252541040 is an abundant number, since it is smaller than the sum of its proper divisors (27134292080).

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

20252541040 is a wasteful number, since it uses less digits than its factorization.

20252541040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2570 (or 2564 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

The spelling of 20252541040 in words is "twenty billion, two hundred fifty-two million, five hundred forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 241 482 619 964 1205 1238 1697 1928 2410 2476 3095 3394 3856 4820 4952 6190 6788 8485 9640 9904 12380 13576 16970 19280 24760 27152 33940 49520 67880 135760 149179 298358 408977 596716 745895 817954 1050443 1193432 1491790 1635908 2044885 2100886 2386864 2983580 3271816 4089770 4201772 5252215 5967160 6543632 8179540 8403544 10504430 11934320 16359080 16807088 21008860 32718160 42017720 84035440 253156763 506313526 1012627052 1265783815 2025254104 2531567630 4050508208 5063135260 10126270520 20252541040