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2126318455768 = 23131931293118471
BaseRepresentation
bin11110111100010010011…
…101001100101111011000
321112021101210022021022211
4132330102131030233120
5234314200011041033
64304452303524504
7306423103443223
oct36742235145730
97467353267284
102126318455768
1174a848376281
122a41178b9734
131256847a7860
1474cb30205ba
153a49ca232cd
hex1ef1274cbd8

2126318455768 has 128 divisors (see below), whose sum is σ = 4681255219200. Its totient is φ = 896656780800.

The previous prime is 2126318455721. The next prime is 2126318455813. The reversal of 2126318455768 is 8675548136212.

It is a super-2 number, since 2×21263184557682 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17888773 + ... + 18007243.

It is an arithmetic number, because the mean of its divisors is an integer number (36572306400).

Almost surely, 22126318455768 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 2126318455768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2340627609600).

2126318455768 is an abundant number, since it is smaller than the sum of its proper divisors (2554936763432).

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

2126318455768 is a wasteful number, since it uses less digits than its factorization.

2126318455768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118833 (or 118829 counting only the distinct ones).

The product of its digits is 19353600, while the sum is 58.

The spelling of 2126318455768 in words is "two trillion, one hundred twenty-six billion, three hundred eighteen million, four hundred fifty-five thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 13 19 26 31 38 52 62 76 104 124 152 247 248 293 403 494 586 589 806 988 1172 1178 1612 1976 2344 2356 3224 3809 4712 5567 7618 7657 9083 11134 15236 15314 18166 22268 30472 30628 36332 44536 61256 72371 72664 118079 118471 144742 172577 236158 236942 289484 345154 472316 473884 578968 690308 944632 947768 1380616 1540123 2243501 2250949 3080246 3672601 4487002 4501898 6160492 7345202 8974004 9003796 12320984 14690404 17948008 18007592 29262337 29380808 34712003 47743813 58524674 69424006 69779419 95487626 117049348 138848012 139558838 190975252 234098696 277696024 279117676 381950504 451256039 558235352 659528057 902512078 907132447 1076072093 1319056114 1805024156 1814264894 2152144186 2638112228 3610048312 3628529788 4304288372 5276224456 7257059576 8573864741 8608576744 13988937209 17147729482 20445369767 27977874418 34295458964 40890739534 55955748836 68590917928 81781479068 111911497672 163562958136 265789806971 531579613942 1063159227884 2126318455768