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268673648448 = 26323307198179
BaseRepresentation
bin1111101000111000110…
…0101000011101000000
3221200111022212111002110
43322032030220131000
513400220423222243
6323232120415320
725260661221342
oct3721614503500
9850438774073
10268673648448
11a3a422a7767
12440a2317540
131c449a3340a
14d00a8b7292
156ec73dbe33
hex3e8e328740

268673648448 has 112 divisors (see below), whose sum is σ = 744192852480. Its totient is φ = 85384594944.

The previous prime is 268673648429. The next prime is 268673648473. The reversal of 268673648448 is 844846376862.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1256623 + ... + 1454801.

It is an arithmetic number, because the mean of its divisors is an integer number (6644579040).

Almost surely, 2268673648448 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 268673648448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372096426240).

268673648448 is an abundant number, since it is smaller than the sum of its proper divisors (475519204032).

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

268673648448 is a wasteful number, since it uses less digits than its factorization.

268673648448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198524 (or 198514 counting only the distinct ones).

The product of its digits is 297271296, while the sum is 66.

The spelling of 268673648448 in words is "two hundred sixty-eight billion, six hundred seventy-three million, six hundred forty-eight thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 138 184 192 276 307 368 552 614 736 921 1104 1228 1472 1842 2208 2456 3684 4416 4912 7061 7368 9824 14122 14736 19648 21183 28244 29472 42366 56488 58944 84732 112976 169464 198179 225952 338928 396358 451904 594537 677856 792716 1189074 1355712 1585432 2378148 3170864 4558117 4756296 6341728 9116234 9512592 12683456 13674351 18232468 19025184 27348702 36464936 38050368 54697404 60840953 72929872 109394808 121681906 145859744 182522859 218789616 243363812 291719488 365045718 437579232 486727624 730091436 875158464 973455248 1399341919 1460182872 1946910496 2798683838 2920365744 3893820992 4198025757 5597367676 5840731488 8396051514 11194735352 11681462976 16792103028 22389470704 33584206056 44778941408 67168412112 89557882816 134336824224 268673648448