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60440900020 = 22517535775813
BaseRepresentation
bin111000010010100011…
…101111000110110100
312210000020012211212121
4320102203233012310
51442240332300040
643433254125324
74236532113334
oct702243570664
9183006184777
1060440900020
11236a6348846
12b869650844
135912bbbb87
142cd52630c4
15188b2e4c4a
hexe128ef1b4

60440900020 has 96 divisors (see below), whose sum is σ = 137188725408. Its totient is φ = 22282371072.

The previous prime is 60440900017. The next prime is 60440900029. The reversal of 60440900020 is 2000904406.

60440900020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 3685461264 + 56755438756 = 60708^2 + 238234^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60440900029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10394634 + ... + 10400446.

It is an arithmetic number, because the mean of its divisors is an integer number (1429049223).

Almost surely, 260440900020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60440900020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68594362704).

60440900020 is an abundant number, since it is smaller than the sum of its proper divisors (76747825388).

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

60440900020 is a wasteful number, since it uses less digits than its factorization.

60440900020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6469 (or 6467 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The spelling of 60440900020 in words is "sixty billion, four hundred forty million, nine hundred thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 53 68 85 106 170 212 265 340 530 577 901 1060 1154 1802 2308 2885 3604 4505 5770 5813 9010 9809 11540 11626 18020 19618 23252 29065 30581 39236 49045 58130 61162 98090 98821 116260 122324 152905 196180 197642 305810 308089 395284 494105 519877 611620 616178 988210 1039754 1232356 1540445 1976420 2079508 2599385 3080890 3354101 5198770 5237513 6161780 6708202 10397540 10475026 13416404 16770505 20950052 26187565 33541010 52375130 57019717 67082020 104750260 114039434 177767353 228078868 285098585 355534706 570197170 711069412 888836765 1140394340 1777673530 3022045001 3555347060 6044090002 12088180004 15110225005 30220450010 60440900020