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21376035566016 = 2631912659219217
BaseRepresentation
bin1001101110000111111110…
…00000011011000111000000
32210200112021200010220211120
410313003333000123013000
510300211110101103031
6113244003135512240
74334240042241315
oct467037700330700
983615250126746
1021376035566016
1168a158689438a
12249299b088680
13bc09a0094b51
1453c869c48d0c
1527108e1cca96
hex1370ff01b1c0

21376035566016 has 112 divisors (see below), whose sum is σ = 56875180615680. Its totient is φ = 7085341716480.

The previous prime is 21376035565999. The next prime is 21376035566069. The reversal of 21376035566016 is 61066553067312.

It is a super-2 number, since 2×213760355660162 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21376035566016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97401240 + ... + 97620456.

It is an arithmetic number, because the mean of its divisors is an integer number (507814112640).

Almost surely, 221376035566016 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 21376035566016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28437590307840).

21376035566016 is an abundant number, since it is smaller than the sum of its proper divisors (35499145049664).

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

21376035566016 is a wasteful number, since it uses less digits than its factorization.

21376035566016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222082 (or 222072 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 51.

The spelling of 21376035566016 in words is "twenty-one trillion, three hundred seventy-six billion, thirty-five million, five hundred sixty-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 191 192 382 573 764 1146 1528 2292 2659 3056 4584 5318 6112 7977 9168 10636 12224 15954 18336 21272 31908 36672 42544 63816 85088 127632 170176 219217 255264 438434 507869 510528 657651 876868 1015738 1315302 1523607 1753736 2031476 2630604 3047214 3507472 4062952 5261208 6094428 7014944 8125904 10522416 12188856 14029888 16251808 21044832 24377712 32503616 41870447 42089664 48755424 83740894 97510848 125611341 167481788 251222682 334963576 502445364 582898003 669927152 1004890728 1165796006 1339854304 1748694009 2009781456 2331592012 2679708608 3497388018 4019562912 4663184024 6994776036 8039125824 9326368048 13989552072 18652736096 27979104144 37305472192 55958208288 111333518573 111916416576 222667037146 334000555719 445334074292 668001111438 890668148584 1336002222876 1781336297168 2672004445752 3562672594336 5344008891504 7125345188672 10688017783008 21376035566016