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21160434360 = 23351366120521
BaseRepresentation
bin10011101101010000…
…101001101010111000
32000121201002102221010
4103231100221222320
5321314032344420
613415421313520
71346242503312
oct235520515270
960551072833
1021160434360
118a7957158a
1241267058a0
131cc2c281a0
14104a4767b2
1583ca8d4e0
hex4ed429ab8

21160434360 has 128 divisors (see below), whose sum is σ = 68471242560. Its totient is φ = 5200588800.

The previous prime is 21160434319. The next prime is 21160434389. The reversal of 21160434360 is 6343406112.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1020900 + ... + 1041420.

Almost surely, 221160434360 is an apocalyptic number.

21160434360 is a gapful number since it is divisible by the number (20) 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 21160434360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34235621280).

21160434360 is an abundant number, since it is smaller than the sum of its proper divisors (47310808200).

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

21160434360 is a wasteful number, since it uses less digits than its factorization.

21160434360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21209 (or 21205 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The spelling of 21160434360 in words is "twenty-one billion, one hundred sixty million, four hundred thirty-four thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 661 780 1322 1560 1983 2644 3305 3966 5288 6610 7932 8593 9915 13220 15864 17186 19830 20521 25779 26440 34372 39660 41042 42965 51558 61563 68744 79320 82084 85930 102605 103116 123126 128895 164168 171860 205210 206232 246252 257790 266773 307815 343720 410420 492504 515580 533546 615630 800319 820840 1031160 1067092 1231260 1333865 1600638 2134184 2462520 2667730 3201276 4001595 5335460 6402552 8003190 10670920 13564381 16006380 27128762 32012760 40693143 54257524 67821905 81386286 108515048 135643810 162772572 176336953 203465715 271287620 325545144 352673906 406931430 529010859 542575240 705347812 813862860 881684765 1058021718 1410695624 1627725720 1763369530 2116043436 2645054295 3526739060 4232086872 5290108590 7053478120 10580217180 21160434360