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21301350786552 = 233191193271914401
BaseRepresentation
bin1001101011111100110110…
…11100100110010111111000
32210102101111202120000200110
410311332123130212113320
510243000131300132202
6113145412213504320
74325654221135434
oct465763334462770
983371452500613
1021301350786552
116872941215151
1224804173420a0
13bb692a1b8555
14538dc2d879c4
1526e16c67e26c
hex135f9b7265f8

21301350786552 has 128 divisors (see below), whose sum is σ = 56127704832000. Its totient is φ = 6718165401600.

The previous prime is 21301350786413. The next prime is 21301350786553. The reversal of 21301350786552 is 25568705310312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21301350786553) 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, 1479150552 + ... + 1479164952.

It is an arithmetic number, because the mean of its divisors is an integer number (438497694000).

Almost surely, 221301350786552 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 21301350786552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28063852416000).

21301350786552 is an abundant number, since it is smaller than the sum of its proper divisors (34826354045448).

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

21301350786552 is a wasteful number, since it uses less digits than its factorization.

21301350786552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18341 (or 18337 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 48.

The spelling of 21301350786552 in words is "twenty-one trillion, three hundred one billion, three hundred fifty million, seven hundred eighty-six thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 456 1193 2386 2719 3579 4772 5438 7158 8157 9544 10876 14316 14401 16314 21752 22667 28632 28802 32628 43203 45334 51661 57604 65256 68001 86406 90668 103322 115208 136002 154983 172812 181336 206644 272004 273619 309966 345624 413288 544008 547238 619932 820857 1094476 1239864 1641714 2188952 3243767 3283428 6487534 6566856 9731301 12975068 17180393 19462602 25950136 34360786 38925204 39156319 51541179 61631573 68721572 77850408 78312638 103082358 117468957 123263146 137443144 156625276 184894719 206164716 234937914 246526292 313250552 326427467 369789438 412329432 469875828 493052584 652854934 739578876 743970061 939751656 979282401 1305709868 1479157752 1487940122 1958564802 2231910183 2611419736 2975880244 3917129604 4463820366 5951760488 7834259208 8927640732 17855281464 46713488567 93426977134 140140465701 186853954268 280280931402 373707908536 560561862804 887556282773 1121123725608 1775112565546 2662668848319 3550225131092 5325337696638 7100450262184 10650675393276 21301350786552