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1228886836464 = 243719924176261
BaseRepresentation
bin10001111000011111010…
…111010000010011110000
311100110222020101110001110
4101320133113100103300
5130113230012231324
62340313125433320
7154532650522110
oct21703727202360
94313866343043
101228886836464
11434193644961
1217a1bb86b840
138bb64170651
144369aba9040
1521e75c2d329
hex11e1f5d04f0

1228886836464 has 160 divisors (see below), whose sum is σ = 3661552153600. Its totient is φ = 347892019200.

The previous prime is 1228886836459. The next prime is 1228886836493. The reversal of 1228886836464 is 4646386888221.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1228886836395 and 1228886836404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16076094 + ... + 16152354.

It is an arithmetic number, because the mean of its divisors is an integer number (22884700960).

Almost surely, 21228886836464 is an apocalyptic number.

1228886836464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1228886836464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1830776076800).

1228886836464 is an abundant number, since it is smaller than the sum of its proper divisors (2432665317136).

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

1228886836464 is a wasteful number, since it uses less digits than its factorization.

1228886836464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76719 (or 76713 counting only the distinct ones).

The product of its digits is 169869312, while the sum is 66.

The spelling of 1228886836464 in words is "one trillion, two hundred twenty-eight billion, eight hundred eighty-six million, eight hundred thirty-six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 199 241 336 398 482 597 723 796 964 1194 1393 1446 1592 1687 1928 2388 2786 2892 3184 3374 3856 4179 4776 5061 5572 5784 6748 8358 9552 10122 11144 11568 13496 16716 20244 22288 26992 33432 40488 47959 66864 76261 80976 95918 143877 152522 191836 228783 287754 305044 335713 383672 457566 533827 575508 610088 671426 767344 915132 1007139 1067654 1151016 1220176 1342852 1601481 1830264 2014278 2135308 2302032 2685704 3202962 3660528 4028556 4270616 5371408 6405924 8057112 8541232 12811848 15175939 16114224 18378901 25623696 30351878 36757802 45527817 55136703 60703756 73515604 91055634 106231573 110273406 121407512 128652307 147031208 182111268 212463146 220546812 242815024 257304614 294062416 318694719 364222536 385956921 424926292 441093624 514609228 637389438 728445072 771913842 849852584 882187248 1029218456 1274778876 1543827684 1699705168 2058436912 2549557752 3087655368 3657401299 5099115504 6175310736 7314802598 10972203897 14629605196 21944407794 25601809093 29259210392 43888815588 51203618186 58518420784 76805427279 87777631176 102407236372 153610854558 175555262352 204814472744 307221709116 409628945488 614443418232 1228886836464