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9830623104 = 273319149711
BaseRepresentation
bin10010010011111001…
…10110011110000000
3221101010001101201000
421021330312132000
5130113114414404
64303252212000
7465416626521
oct111174663600
927333041630
109830623104
114195148705
121aa430a000
13c08895963
14693872848
153c80a2339
hex249f36780

9830623104 has 128 divisors (see below), whose sum is σ = 30541248000. Its totient is φ = 3104386560.

The previous prime is 9830623097. The next prime is 9830623111. The reversal of 9830623104 is 4013260389.

It is an interprime number because it is at equal distance from previous prime (9830623097) and next prime (9830623111).

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

It is a super-2 number, since 2×98306231042 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

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, 9192 + ... + 140519.

It is an arithmetic number, because the mean of its divisors is an integer number (238603500).

Almost surely, 29830623104 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 9830623104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15270624000).

9830623104 is an abundant number, since it is smaller than the sum of its proper divisors (20710624896).

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

9830623104 is a wasteful number, since it uses less digits than its factorization.

9830623104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149753 (or 149735 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 9830623104 is about 99149.4987581884. The cubic root of 9830623104 is about 2142.2016459963.

The spelling of 9830623104 in words is "nine billion, eight hundred thirty million, six hundred twenty-three thousand, one hundred four".

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 21888 32832 65664 149711 299422 449133 598844 898266 1197688 1347399 1796532 2395376 2694798 2844509 3593064 4042197 4790752 5389596 5689018 7186128 8084394 8533527 9581504 10779192 11378036 14372256 16168788 17067054 19163008 21558384 22756072 25600581 28744512 32337576 34134108 43116768 45512144 51201162 57489024 64675152 68268216 76801743 86233536 91024288 102402324 129350304 136536432 153603486 172467072 182048576 204804648 258700608 273072864 307206972 364097152 409609296 517401216 546145728 614413944 819218592 1092291456 1228827888 1638437184 2457655776 3276874368 4915311552 9830623104