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20246613840 = 2432578735731
BaseRepresentation
bin10010110110110010…
…101100111101010000
31221021000120112211200
4102312302230331100
5312431113120330
613145015111200
71314505243455
oct226662547520
957230515750
1020246613840
11864a75a712
123b10672500
131ba8802c9b
14da0d5d82c
157d7731a60
hex4b6cacf50

20246613840 has 120 divisors (see below), whose sum is σ = 68083181088. Its totient is φ = 5392085760.

The previous prime is 20246613833. The next prime is 20246613841. The reversal of 20246613840 is 4831664202.

20246613840 is a `hidden beast` number, since 20 + 2 + 466 + 138 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20246613795 and 20246613804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20246613841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 548775 + ... + 584505.

Almost surely, 220246613840 is an apocalyptic number.

20246613840 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 20246613840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34041590544).

20246613840 is an abundant number, since it is smaller than the sum of its proper divisors (47836567248).

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

20246613840 is a wasteful number, since it uses less digits than its factorization.

20246613840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36537 (or 36528 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 20246613840 in words is "twenty billion, two hundred forty-six million, six hundred thirteen thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 787 1574 2361 3148 3935 4722 6296 7083 7870 9444 11805 12592 14166 15740 18888 23610 28332 31480 35415 35731 37776 47220 56664 62960 70830 71462 94440 107193 113328 141660 142924 178655 188880 214386 283320 285848 321579 357310 428772 535965 566640 571696 643158 714620 857544 1071930 1286316 1429240 1607895 1715088 2143860 2572632 2858480 3215790 4287720 5145264 6431580 8575440 12863160 25726320 28120297 56240594 84360891 112481188 140601485 168721782 224962376 253082673 281202970 337443564 421804455 449924752 506165346 562405940 674887128 843608910 1012330692 1124811880 1265413365 1349774256 1687217820 2024661384 2249623760 2530826730 3374435640 4049322768 5061653460 6748871280 10123306920 20246613840