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21087819936 = 25353187481
BaseRepresentation
bin10011101000111011…
…101001100010100000
32000102122110020200000
4103220323221202200
5321141440214221
613404305100000
71344401340411
oct235073514240
960378406600
1021087819936
118a41585267
124106327600
131cb0b82681
141040973808
158364e7e26
hex4e8ee98a0

21087819936 has 144 divisors (see below), whose sum is σ = 64196391168. Its totient is φ = 6802444800.

The previous prime is 21087819919. The next prime is 21087819947. The reversal of 21087819936 is 63991878012.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×210878199362 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 197316 + ... + 284796.

It is an arithmetic number, because the mean of its divisors is an integer number (445808272).

Almost surely, 221087819936 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 21087819936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32098195584).

21087819936 is an abundant number, since it is smaller than the sum of its proper divisors (43108571232).

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

21087819936 is an equidigital number, since it uses as much as digits as its factorization.

21087819936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87537 (or 87517 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 21087819936 in words is "twenty-one billion, eighty-seven million, eight hundred nineteen thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 72 81 93 96 108 124 144 162 186 216 243 248 279 288 324 372 432 486 496 558 648 744 837 864 972 992 1116 1296 1488 1674 1944 2232 2511 2592 2976 3348 3888 4464 5022 6696 7533 7776 8928 10044 13392 15066 20088 26784 30132 40176 60264 80352 87481 120528 174962 241056 262443 349924 524886 699848 787329 1049772 1399696 1574658 2099544 2361987 2711911 2799392 3149316 4199088 4723974 5423822 6298632 7085961 8135733 8398176 9447948 10847644 12597264 14171922 16271466 18895896 21257883 21695288 24407199 25194528 28343844 32542932 37791792 42515766 43390576 48814398 56687688 65085864 73221597 75583584 85031532 86781152 97628796 113375376 130171728 146443194 170063064 195257592 219664791 226750752 260343456 292886388 340126128 390515184 439329582 585772776 658994373 680252256 781030368 878659164 1171545552 1317988746 1757318328 2343091104 2635977492 3514636656 5271954984 7029273312 10543909968 21087819936