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21661032235296 = 25310112713175727
BaseRepresentation
bin1001110110011010110100…
…01000011100000100100000
32211200202220120122210000010
410323031122020130010200
510314343243223012141
6114022535115324520
74363646400042666
oct473153210340440
984622816583003
1021661032235296
1169a1434aa4203
12251a077a50740
13c1181b77c66c
1454c58453ac36
152786be61a416
hex13b35a21c120

21661032235296 has 96 divisors (see below), whose sum is σ = 57428025677568. Its totient is φ = 7148252518400.

The previous prime is 21661032235291. The next prime is 21661032235303. The reversal of 21661032235296 is 69253223016612.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (21661032235291) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123177385 + ... + 123353111.

It is an arithmetic number, because the mean of its divisors is an integer number (598208600808).

Almost surely, 221661032235296 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 21661032235296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28714012838784).

21661032235296 is an abundant number, since it is smaller than the sum of its proper divisors (35766993442272).

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

21661032235296 is a wasteful number, since it uses less digits than its factorization.

21661032235296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188554 (or 188546 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 48.

The spelling of 21661032235296 in words is "twenty-one trillion, six hundred sixty-one billion, thirty-two million, two hundred thirty-five thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 101 202 303 404 606 808 1212 1616 2424 3232 4848 9696 12713 25426 38139 50852 76278 101704 152556 175727 203408 305112 351454 406816 527181 610224 702908 1054362 1220448 1284013 1405816 2108724 2568026 2811632 3852039 4217448 5136052 5623264 7704078 8434896 10272104 15408156 16869792 17748427 20544208 30816312 35496854 41088416 53245281 61632624 70993708 106490562 123265248 141987416 212981124 283974832 425962248 567949664 851924496 1703848992 2234017351 4468034702 6702052053 8936069404 13404104106 17872138808 26808208212 35744277616 53616416424 71488555232 107232832848 214465665696 225635752451 451271504902 676907257353 902543009804 1353814514706 1805086019608 2707629029412 3610172039216 5415258058824 7220344078432 10830516117648 21661032235296