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3881163840 = 263537109267
BaseRepresentation
bin1110011101010101…
…1101110001000000
3101000111002112212220
43213111131301000
530422034220330
61441042451040
7165115230321
oct34725356100
911014075786
103881163840
1117118a7924
12903963a80
1349b114468
1428b65c448
1517aaee710
hexe755dc40

3881163840 has 112 divisors (see below), whose sum is σ = 12655856832. Its totient is φ = 1006995456.

The previous prime is 3881163817. The next prime is 3881163863. The reversal of 3881163840 is 483611883.

3881163840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3881163817) and next prime (3881163863).

It is a super-3 number, since 3×38811638403 (a number of 30 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3881163792 and 3881163801.

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, 19114 + ... + 90153.

Almost surely, 23881163840 is an apocalyptic number.

3881163840 is a gapful number since it is divisible by the number (30) 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 3881163840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6327928416).

3881163840 is an abundant number, since it is smaller than the sum of its proper divisors (8774692992).

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

3881163840 is a wasteful number, since it uses less digits than its factorization.

3881163840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109324 (or 109314 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 3881163840 is about 62298.9874717078. The cubic root of 3881163840 is about 1571.5227008235.

The spelling of 3881163840 in words is "three billion, eight hundred eighty-one million, one hundred sixty-three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 37 40 48 60 64 74 80 96 111 120 148 160 185 192 222 240 296 320 370 444 480 555 592 740 888 960 1110 1184 1480 1776 2220 2368 2960 3552 4440 5920 7104 8880 11840 17760 35520 109267 218534 327801 437068 546335 655602 874136 1092670 1311204 1639005 1748272 2185340 2622408 3278010 3496544 4042879 4370680 5244816 6556020 6993088 8085758 8741360 10489632 12128637 13112040 16171516 17482720 20214395 20979264 24257274 26224080 32343032 34965440 40428790 48514548 52448160 60643185 64686064 80857580 97029096 104896320 121286370 129372128 161715160 194058192 242572740 258744256 323430320 388116384 485145480 646860640 776232768 970290960 1293721280 1940581920 3881163840