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21070523530780 = 2253724987154313
BaseRepresentation
bin1001100101001110111010…
…00100011111111000011100
32202121022201000100111020021
410302213131010133320130
510230204413010441110
6112451355340401524
74303203133630243
oct462473504377034
982538630314207
1021070523530780
116793a60253469
1224437378462a4
13b9ac322ca539
1452bb66a3995a
1526815cb732da
hex1329dd11fe1c

21070523530780 has 72 divisors (see below), whose sum is σ = 45485729201808. Its totient is φ = 8198722478592.

The previous prime is 21070523530769. The next prime is 21070523530781. The reversal of 21070523530780 is 8703532507012.

It is a happy number.

It is a super-2 number, since 2×210705235307802 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21070523530781) 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, 136466904 + ... + 136621216.

It is an arithmetic number, because the mean of its divisors is an integer number (631746238914).

Almost surely, 221070523530780 is an apocalyptic number.

21070523530780 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 21070523530780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22742864600904).

21070523530780 is an abundant number, since it is smaller than the sum of its proper divisors (24415205671028).

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

21070523530780 is a wasteful number, since it uses less digits than its factorization.

21070523530780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159383 (or 159344 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 43.

The spelling of 21070523530780 in words is "twenty-one trillion, seventy billion, five hundred twenty-three million, five hundred thirty thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 1369 2738 4987 5476 6845 9974 13690 19948 24935 27380 49870 99740 154313 184519 308626 369038 617252 738076 771565 922595 1543130 1845190 3086260 3690380 5709581 6827203 11419162 13654406 22838324 27308812 28547905 34136015 57095810 68272030 114191620 136544060 211254497 422508994 769558931 845017988 1056272485 1539117862 2112544970 3078235724 3847794655 4225089940 7695589310 15391178620 28473680447 56947360894 113894721788 142368402235 284736804470 569473608940 1053526176539 2107052353078 4214104706156 5267630882695 10535261765390 21070523530780