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3978118656 = 293495923
BaseRepresentation
bin1110110100011101…
…0100011000000000
3101021020112100220000
43231013110120000
531121344244111
61454424520000
7200403310401
oct35507243000
911236470800
103978118656
1117615a9476
12930320000
134b522cb85
1429a4999a8
151843a1c56
hexed1d4600

3978118656 has 100 divisors (see below), whose sum is σ = 11873760492. Its totient is φ = 1326025728.

The previous prime is 3978118619. The next prime is 3978118699. The reversal of 3978118656 is 6568118793.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 6490 + ... + 89433.

Almost surely, 23978118656 is an apocalyptic number.

3978118656 is a gapful number since it is divisible by the number (36) 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 3978118656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5936880246).

3978118656 is an abundant number, since it is smaller than the sum of its proper divisors (7895641836).

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

3978118656 is an frugal number, since it uses more digits than its factorization.

3978118656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95953 (or 95928 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 54.

The square root of 3978118656 is about 63072.3287662664. The cubic root of 3978118656 is about 1584.5012187951.

The spelling of 3978118656 in words is "three billion, nine hundred seventy-eight million, one hundred eighteen thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1152 1296 1536 1728 2304 2592 3456 4608 5184 6912 10368 13824 20736 41472 95923 191846 287769 383692 575538 767384 863307 1151076 1534768 1726614 2302152 2589921 3069536 3453228 4604304 5179842 6139072 6906456 7769763 9208608 10359684 12278144 13812912 15539526 18417216 20719368 24556288 27625824 31079052 36834432 41438736 49112576 55251648 62158104 73668864 82877472 110503296 124316208 147337728 165754944 221006592 248632416 331509888 442013184 497264832 663019776 994529664 1326039552 1989059328 3978118656