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2645473733140 = 2257212172218129
BaseRepresentation
bin100110011111110010100…
…001011010101000010100
3100100220102121112220012211
4212133302201122220110
5321320412233430030
65343151443123204
7362062206465400
oct46376241325024
910326377486184
102645473733140
1192aa36a56117
12368863973504
1316260c2bc084
149208227c100
1548c3516412a
hex267f285aa14

2645473733140 has 72 divisors (see below), whose sum is σ = 6467827521960. Its totient is φ = 906273865728.

The previous prime is 2645473733137. The next prime is 2645473733171. The reversal of 2645473733140 is 413373745462.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 569378903184 + 2076094829956 = 754572^2 + 1440866^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

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, 83596 + ... + 2301724.

It is an arithmetic number, because the mean of its divisors is an integer number (89830937805).

Almost surely, 22645473733140 is an apocalyptic number.

2645473733140 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 2645473733140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3233913760980).

2645473733140 is an abundant number, since it is smaller than the sum of its proper divisors (3822353788820).

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

2645473733140 is a wasteful number, since it uses less digits than its factorization.

2645473733140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2219369 (or 2219360 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 49.

The spelling of 2645473733140 in words is "two trillion, six hundred forty-five billion, four hundred seventy-three million, seven hundred thirty-three thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 1217 2434 4868 6085 8519 12170 17038 24340 34076 42595 59633 85190 119266 170380 238532 298165 596330 1192660 2218129 4436258 8872516 11090645 15526903 22181290 31053806 44362580 62107612 77634515 108688321 155269030 217376642 310538060 434753284 543441605 1086883210 2173766420 2699462993 5398925986 10797851972 13497314965 18896240951 26994629930 37792481902 53989259860 75584963804 94481204755 132273686657 188962409510 264547373314 377924819020 529094746628 661368433285 1322736866570 2645473733140