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68496908032 = 287199401479
BaseRepresentation
bin111111110010101110…
…111101111100000000
320112210200000110022201
4333302232331330000
52110240202024112
651244514242544
74643263053220
oct776256757400
9215720013281
1068496908032
112705a79a903
1211337586454
1365c7c11c17
14345b14a080
151bad6a5257
hexff2bbdf00

68496908032 has 144 divisors (see below), whose sum is σ = 157764096000. Its totient is φ = 29074636800.

The previous prime is 68496908021. The next prime is 68496908071. The reversal of 68496908032 is 23080969486.

It is a happy number.

It is a super-2 number, since 2×684969080322 (a number of 22 digits) contains 22 as substring.

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, 142999569 + ... + 143000047.

It is an arithmetic number, because the mean of its divisors is an integer number (1095584000).

Almost surely, 268496908032 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 68496908032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78882048000).

68496908032 is an abundant number, since it is smaller than the sum of its proper divisors (89267187968).

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

68496908032 is a wasteful number, since it uses less digits than its factorization.

68496908032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1102 (or 1088 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 55.

The spelling of 68496908032 in words is "sixty-eight billion, four hundred ninety-six million, nine hundred eight thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 199 224 256 398 401 448 479 796 802 896 958 1393 1592 1604 1792 1916 2786 2807 3184 3208 3353 3832 5572 5614 6368 6416 6706 7664 11144 11228 12736 12832 13412 15328 22288 22456 25472 25664 26824 30656 44576 44912 50944 51328 53648 61312 79799 89152 89824 95321 102656 107296 122624 159598 178304 179648 190642 192079 214592 319196 356608 359296 381284 384158 429184 558593 638392 667247 718592 762568 768316 858368 1117186 1276784 1334494 1344553 1525136 1536632 2234372 2553568 2668988 2689106 3050272 3073264 4468744 5107136 5337976 5378212 6100544 6146528 8937488 10214272 10675952 10756424 12201088 12293056 17874976 20428544 21351904 21512848 24402176 24586112 35749952 38223721 42703808 43025696 49172224 71499904 76447442 85407616 86051392 142999808 152894884 170815232 172102784 267566047 305789768 344205568 535132094 611579536 1070264188 1223159072 2140528376 2446318144 4281056752 4892636288 8562113504 9785272576 17124227008 34248454016 68496908032