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38678401512256 = 2611131733357193
BaseRepresentation
bin10001100101101100001000…
…11000011111001101000000
312001221121201022012200212211
420302312010120133031000
520032201331241343011
6214132340134031504
711101264563204112
oct1062660430371500
9161847638180784
1038678401512256
1111362466345410
1244081724a8594
13187748589c07c
1497a08a6293b2
154711a9a79b21
hex232d8461f340

38678401512256 has 112 divisors (see below), whose sum is σ = 84382089409728. Its totient is φ = 17444200550400.

The previous prime is 38678401512181. The next prime is 38678401512259. The reversal of 38678401512256 is 65221510487683.

It is a self number, because there is not a number n which added to its sum of digits gives 38678401512256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38678401512259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 676249996 + ... + 676307188.

Almost surely, 238678401512256 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 38678401512256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42191044704864).

38678401512256 is an abundant number, since it is smaller than the sum of its proper divisors (45703687897472).

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

38678401512256 is a wasteful number, since it uses less digits than its factorization.

38678401512256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64680 (or 64670 counting only the distinct ones).

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

The spelling of 38678401512256 in words is "thirty-eight trillion, six hundred seventy-eight billion, four hundred one million, five hundred twelve thousand, two hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 131 176 262 352 524 704 1048 1441 2096 2882 4192 5764 7333 8384 11528 14666 23056 29332 46112 57193 58664 80663 92224 114386 117328 161326 228772 234656 322652 457544 469312 629123 645304 915088 960623 1258246 1290608 1830176 1921246 2516492 2581216 3660352 3842492 5032984 5162432 7492283 7684984 10065968 10566853 14984566 15369968 20131936 21133706 29969132 30739936 40263872 42267412 59938264 61479872 82415113 84534824 119876528 164830226 169069648 239753056 329660452 338139296 419396269 479506112 659320904 676278592 838792538 1318641808 1677585076 2637283616 3355170152 4613358959 5274567232 6710340304 9226717918 13420680608 18453435836 26841361216 36906871672 54940911239 73813743344 109881822478 147627486688 219763644956 295254973376 439527289912 604350023629 879054579824 1208700047258 1758109159648 2417400094516 3516218319296 4834800189032 9669600378064 19339200756128 38678401512256