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16122162540 = 223511241101359
BaseRepresentation
bin11110000001111010…
…01010110101101100
31112121120200201022010
433000331022311230
5231004233200130
611223441521220
71110344056221
oct170075126554
945546621263
1016122162540
1169235a4380
12315b343210
13169c189563
14acd291948
156455c70b0
hex3c0f4ad6c

16122162540 has 96 divisors (see below), whose sum is σ = 49450705920. Its totient is φ = 3892147200.

The previous prime is 16122162503. The next prime is 16122162571. The reversal of 16122162540 is 4526122161.

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

It is a junction number, because it is equal to n+sod(n) for n = 16122162498 and 16122162507.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108381 + ... + 209739.

It is an arithmetic number, because the mean of its divisors is an integer number (515111520).

Almost surely, 216122162540 is an apocalyptic number.

16122162540 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 16122162540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24725352960).

16122162540 is an abundant number, since it is smaller than the sum of its proper divisors (33328543380).

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

16122162540 is a wasteful number, since it uses less digits than its factorization.

16122162540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101623 (or 101621 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 16122162540 in words is "sixteen billion, one hundred twenty-two million, one hundred sixty-two thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 241 330 482 660 723 964 1205 1446 2410 2651 2892 3615 4820 5302 7230 7953 10604 13255 14460 15906 26510 31812 39765 53020 79530 101359 159060 202718 304077 405436 506795 608154 1013590 1114949 1216308 1520385 2027180 2229898 3040770 3344847 4459796 5574745 6081540 6689694 11149490 13379388 16724235 22298980 24427519 33448470 48855038 66896940 73282557 97710076 122137595 146565114 244275190 268702709 293130228 366412785 488550380 537405418 732825570 806108127 1074810836 1343513545 1465651140 1612216254 2687027090 3224432508 4030540635 5374054180 8061081270 16122162540