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16836715040 = 2553130711057
BaseRepresentation
bin11111010111000101…
…11110001000100000
31121110101020202001112
433223202332020200
5233440144340130
611422405122452
71134141500525
oct175342761040
947411222045
1016836715040
11715a983232
12331a6b9428
1317842226a2
14b5a13714c
156881c1495
hex3eb8be220

16836715040 has 96 divisors (see below), whose sum is σ = 41197330944. Its totient is φ = 6495621120.

The previous prime is 16836714953. The next prime is 16836715069. The reversal of 16836715040 is 4051763861.

16836715040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 1517192 + ... + 1528248.

It is an arithmetic number, because the mean of its divisors is an integer number (429138864).

Almost surely, 216836715040 is an apocalyptic number.

16836715040 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 16836715040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20598665472).

16836715040 is an abundant number, since it is smaller than the sum of its proper divisors (24360615904).

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

16836715040 is a wasteful number, since it uses less digits than its factorization.

16836715040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11410 (or 11402 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 41.

The spelling of 16836715040 in words is "sixteen billion, eight hundred thirty-six million, seven hundred fifteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 80 124 155 160 248 307 310 496 614 620 992 1228 1240 1535 2456 2480 3070 4912 4960 6140 9517 9824 11057 12280 19034 22114 24560 38068 44228 47585 49120 55285 76136 88456 95170 110570 152272 176912 190340 221140 304544 342767 353824 380680 442280 685534 761360 884560 1371068 1522720 1713835 1769120 2742136 3394499 3427670 5484272 6788998 6855340 10968544 13577996 13710680 16972495 27155992 27421360 33944990 54311984 54842720 67889980 105229469 108623968 135779960 210458938 271559920 420917876 526147345 543119840 841835752 1052294690 1683671504 2104589380 3367343008 4209178760 8418357520 16836715040