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20477621300 = 22521493893533
BaseRepresentation
bin10011000100100011…
…111011010000110100
31221212010020221111112
4103010203323100310
5313414232340200
613223550254152
71323311623553
oct230443732064
957763227445
1020477621300
1187590a0a74
123b75ab7358
131c146259a6
14dc38d3d9a
157ecb63535
hex4c48fb434

20477621300 has 72 divisors (see below), whose sum is σ = 44862363000. Its totient is φ = 8112862720.

The previous prime is 20477621267. The next prime is 20477621323. The reversal of 20477621300 is 312677402.

It can be written as a sum of positive squares in 12 ways, for example, as 8892112804 + 11585508496 = 94298^2 + 107636^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5794334 + ... + 5797866.

It is an arithmetic number, because the mean of its divisors is an integer number (623088375).

Almost surely, 220477621300 is an apocalyptic number.

20477621300 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 20477621300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22431181500).

20477621300 is an abundant number, since it is smaller than the sum of its proper divisors (24384741700).

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

20477621300 is a wasteful number, since it uses less digits than its factorization.

20477621300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4085 (or 4078 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 32.

The spelling of 20477621300 in words is "twenty billion, four hundred seventy-seven million, six hundred twenty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 149 298 389 596 745 778 1490 1556 1945 2980 3533 3725 3890 7066 7450 7780 9725 14132 14900 17665 19450 35330 38900 57961 70660 88325 115922 176650 231844 289805 353300 526417 579610 1052834 1159220 1374337 1449025 2105668 2632085 2748674 2898050 5264170 5497348 5796100 6871685 10528340 13160425 13743370 26320850 27486740 34358425 52641700 68716850 137433700 204776213 409552426 819104852 1023881065 2047762130 4095524260 5119405325 10238810650 20477621300