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230695678464 = 2932333491847
BaseRepresentation
bin1101011011011010001…
…0001011001000000000
3211001110120121201022120
43112312202023020000
512234431043202324
6253551413004240
722444565624646
oct3266642131000
9731416551276
10230695678464
1189923772809
1238863623680
13189a686c624
14b246a9b196
1560031ba179
hex35b688b200

230695678464 has 160 divisors (see below), whose sum is σ = 619329110400. Its totient is φ = 76307791872.

The previous prime is 230695678463. The next prime is 230695678489. The reversal of 230695678464 is 464876596032.

It is a junction number, because it is equal to n+sod(n) for n = 230695678398 and 230695678407.

It is not an unprimeable number, because it can be changed into a prime (230695678463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124901989 + ... + 124903835.

It is an arithmetic number, because the mean of its divisors is an integer number (3870806940).

Almost surely, 2230695678464 is an apocalyptic number.

230695678464 is a gapful number since it is divisible by the number (24) 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 230695678464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309664555200).

230695678464 is an abundant number, since it is smaller than the sum of its proper divisors (388633431936).

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

230695678464 is a wasteful number, since it uses less digits than its factorization.

230695678464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2450 (or 2434 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 60.

The spelling of 230695678464 in words is "two hundred thirty billion, six hundred ninety-five million, six hundred seventy-eight thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 233 256 349 384 466 512 698 699 768 932 1047 1396 1398 1536 1847 1864 2094 2792 2796 3694 3728 4188 5541 5584 5592 7388 7456 8376 11082 11168 11184 14776 14912 16752 22164 22336 22368 29552 29824 33504 44328 44672 44736 59104 59648 67008 81317 88656 89344 89472 118208 119296 134016 162634 177312 178688 178944 236416 243951 268032 325268 354624 357888 430351 472832 487902 536064 644603 650536 709248 860702 945664 975804 1289206 1291053 1301072 1418496 1721404 1933809 1951608 2578412 2582106 2602144 2836992 3442808 3867618 3903216 5156824 5164212 5204288 6885616 7735236 7806432 10313648 10328424 10408576 13771232 15470472 15612864 20627296 20656848 20817152 27542464 30940944 31225728 41254592 41313696 41634304 55084928 61881888 62451456 82509184 82627392 110169856 123763776 124902912 150192499 165018368 165254784 220339712 247527552 300384998 330036736 330509568 450577497 495055104 600769996 661019136 901154994 990110208 1201539992 1802309988 2403079984 3604619976 4806159968 7209239952 9612319936 14418479904 19224639872 28836959808 38449279744 57673919616 76898559488 115347839232 230695678464