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1137103488 = 27331917317
BaseRepresentation
bin100001111000110…
…1101001010000000
32221020122211202000
41003301231022000
54312044302423
6304500024000
740115135343
oct10361551200
92836584660
101137103488
11533957754
12278992000
13151772001
14ab03a45a
1569c64843
hex43c6d280

1137103488 has 128 divisors (see below), whose sum is σ = 3532872000. Its totient is φ = 359064576.

The previous prime is 1137103453. The next prime is 1137103489. The reversal of 1137103488 is 8843017311.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×11371034882 = 2586008684843532288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1137103489) 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, 57006 + ... + 74322.

Almost surely, 21137103488 is an apocalyptic number.

1137103488 is a gapful number since it is divisible by the number (18) 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 1137103488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1766436000).

1137103488 is an abundant number, since it is smaller than the sum of its proper divisors (2395768512).

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

1137103488 is a wasteful number, since it uses less digits than its factorization.

1137103488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17359 (or 17341 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 1137103488 is about 33720.9651107438. The cubic root of 1137103488 is about 1043.7584326807.

The spelling of 1137103488 in words is "one billion, one hundred thirty-seven million, one hundred three thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 96 108 114 128 144 152 171 192 216 228 288 304 342 384 432 456 513 576 608 684 864 912 1026 1152 1216 1368 1728 1824 2052 2432 2736 3456 3648 4104 5472 7296 8208 10944 16416 17317 21888 32832 34634 51951 65664 69268 103902 138536 155853 207804 277072 311706 329023 415608 467559 554144 623412 658046 831216 935118 987069 1108288 1246824 1316092 1662432 1870236 1974138 2216576 2493648 2632184 2961207 3324864 3740472 3948276 4987296 5264368 5922414 6649728 7480944 7896552 8883621 9974592 10528736 11844828 14961888 15793104 17767242 19949184 21057472 23689656 29923776 31586208 35534484 42114944 47379312 59847552 63172416 71068968 94758624 126344832 142137936 189517248 284275872 379034496 568551744 1137103488