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11438942160 = 243567897993
BaseRepresentation
bin10101010011101000…
…00110011111010000
31002112012101110200110
422221310012133100
5141411332122120
65131024121320
7553316255412
oct125164063720
932465343613
1011438942160
11493aa91608
122272a66240
131103b52139
147a72d09b2
1546e3962e0
hex2a9d067d0

11438942160 has 160 divisors (see below), whose sum is σ = 36398920320. Its totient is φ = 2970722304.

The previous prime is 11438942159. The next prime is 11438942161. The reversal of 11438942160 is 6124983411.

It is an interprime number because it is at equal distance from previous prime (11438942159) and next prime (11438942161).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11438942161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1427124 + ... + 1435116.

It is an arithmetic number, because the mean of its divisors is an integer number (227493252).

Almost surely, 211438942160 is an apocalyptic number.

11438942160 is a gapful number since it is divisible by the number (10) 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 11438942160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18199460160).

11438942160 is an abundant number, since it is smaller than the sum of its proper divisors (24959978160).

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

11438942160 is a wasteful number, since it uses less digits than its factorization.

11438942160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8165 (or 8159 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The spelling of 11438942160 in words is "eleven billion, four hundred thirty-eight million, nine hundred forty-two thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 67 80 89 120 134 178 201 240 267 268 335 356 402 445 534 536 670 712 804 890 1005 1068 1072 1335 1340 1424 1608 1780 2010 2136 2670 2680 3216 3560 4020 4272 5340 5360 5963 7120 7993 8040 10680 11926 15986 16080 17889 21360 23852 23979 29815 31972 35778 39965 47704 47958 59630 63944 71556 79930 89445 95408 95916 119260 119895 127888 143112 159860 178890 191832 238520 239790 286224 319720 357780 383664 477040 479580 535531 639440 711377 715560 959160 1071062 1422754 1431120 1606593 1918320 2134131 2142124 2677655 2845508 3213186 3556885 4268262 4284248 5355310 5691016 6426372 7113770 8032965 8536524 8568496 10670655 10710620 11382032 12852744 14227540 16065930 17073048 21341310 21421240 25705488 28455080 32131860 34146096 42682620 42842480 47662259 56910160 64263720 85365240 95324518 128527440 142986777 170730480 190649036 238311295 285973554 381298072 476622590 571947108 714933885 762596144 953245180 1143894216 1429867770 1906490360 2287788432 2859735540 3812980720 5719471080 11438942160