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20372185040 = 2457921115277
BaseRepresentation
bin10010111110010001…
…101101111111010000
31221120202212020010212
4102332101231333100
5313210234410130
613205302343252
71320561500324
oct227621557720
957522766125
1020372185040
118704627169
123b4672ab28
131bc882a97c
14db38c9984
157e3787e95
hex4be46dfd0

20372185040 has 80 divisors (see below), whose sum is σ = 48195367680. Its totient is φ = 8007068160.

The previous prime is 20372185039. The next prime is 20372185051. The reversal of 20372185040 is 4058127302.

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 = 20372184988 and 20372185006.

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, 1325882 + ... + 1341158.

It is an arithmetic number, because the mean of its divisors is an integer number (602442096).

Almost surely, 220372185040 is an apocalyptic number.

20372185040 is a gapful number since it is divisible by the number (20) 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 20372185040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24097683840).

20372185040 is an abundant number, since it is smaller than the sum of its proper divisors (27823182640).

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

20372185040 is a wasteful number, since it uses less digits than its factorization.

20372185040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15580 (or 15574 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The spelling of 20372185040 in words is "twenty billion, three hundred seventy-two million, one hundred eighty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 79 80 158 211 316 395 422 632 790 844 1055 1264 1580 1688 2110 3160 3376 4220 6320 8440 15277 16669 16880 30554 33338 61108 66676 76385 83345 122216 133352 152770 166690 244432 266704 305540 333380 611080 666760 1206883 1222160 1333520 2413766 3223447 4827532 6034415 6446894 9655064 12068830 12893788 16117235 19310128 24137660 25787576 32234470 48275320 51575152 64468940 96550640 128937880 254652313 257875760 509304626 1018609252 1273261565 2037218504 2546523130 4074437008 5093046260 10186092520 20372185040