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21097278551616 = 263196709862013
BaseRepresentation
bin1001100110000000101111…
…10010110011011001000000
32202200212202121122101000220
410303000113302303121000
510231124211302122431
6112511542253343040
74305141141562401
oct463002762633100
982625677571026
1021097278551616
1167a433a812633
122448963a97a80
13ba0607305b07
1452d18410b9a8
15268bc6966b96
hex133017cb3640

21097278551616 has 112 divisors (see below), whose sum is σ = 58766597630400. Its totient is φ = 6661297723392.

The previous prime is 21097278551593. The next prime is 21097278551617. The reversal of 21097278551616 is 61615587279012.

It is a happy number.

It is a super-2 number, since 2×210972785516162 (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 21097278551616.

It is not an unprimeable number, because it can be changed into a prime (21097278551617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24043426 + ... + 24905438.

Almost surely, 221097278551616 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 21097278551616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29383298815200).

21097278551616 is an abundant number, since it is smaller than the sum of its proper divisors (37669319078784).

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

21097278551616 is a wasteful number, since it uses less digits than its factorization.

21097278551616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868756 (or 868746 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 60.

The spelling of 21097278551616 in words is "twenty-one trillion, ninety-seven billion, two hundred seventy-eight million, five hundred fifty-one thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 152 192 228 304 456 608 912 1216 1824 3648 6709 13418 20127 26836 40254 53672 80508 107344 127471 161016 214688 254942 322032 382413 429376 509884 644064 764826 862013 1019768 1288128 1529652 1724026 2039536 2586039 3059304 3448052 4079072 5172078 6118608 6896104 8158144 10344156 12237216 13792208 16378247 20688312 24474432 27584416 32756494 41376624 49134741 55168832 65512988 82753248 98269482 131025976 165506496 196538964 262051952 393077928 524103904 786155856 1048207808 1572311712 3144623424 5783245217 11566490434 17349735651 23132980868 34699471302 46265961736 69398942604 92531923472 109881659123 138797885208 185063846944 219763318246 277595770416 329644977369 370127693888 439526636492 555191540832 659289954738 879053272984 1110383081664 1318579909476 1758106545968 2637159818952 3516213091936 5274319637904 7032426183872 10548639275808 21097278551616