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16338869040 = 24351322372341
BaseRepresentation
bin11110011011101111…
…10101101100110000
31120011200110112201210
433031313311230300
5231430222302130
611301142400120
71115615044464
oct171567655460
946150415653
1016338869040
116a2495815a
1231bba30040
131705042b60
14b0dd824a4
156596315b0
hex3cddf5b30

16338869040 has 160 divisors (see below), whose sum is σ = 54594380736. Its totient is φ = 4018360320.

The previous prime is 16338868999. The next prime is 16338869051. The reversal of 16338869040 is 4096883361.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 6978270 + ... + 6980610.

Almost surely, 216338869040 is an apocalyptic number.

16338869040 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 16338869040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27297190368).

16338869040 is an abundant number, since it is smaller than the sum of its proper divisors (38255511696).

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

16338869040 is a wasteful number, since it uses less digits than its factorization.

16338869040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4607 (or 4601 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The spelling of 16338869040 in words is "sixteen billion, three hundred thirty-eight million, eight hundred sixty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 2237 2341 3120 4474 4682 6711 7023 8948 9364 11185 11705 13422 14046 17896 18728 22370 23410 26844 28092 29081 30433 33555 35115 35792 37456 44740 46820 53688 56184 58162 60866 67110 70230 87243 89480 91299 93640 107376 112368 116324 121732 134220 140460 145405 152165 174486 178960 182598 187280 232648 243464 268440 280920 290810 304330 348972 365196 436215 456495 465296 486928 536880 561840 581620 608660 697944 730392 872430 912990 1163240 1217320 1395888 1460784 1744860 1825980 2326480 2434640 3489720 3651960 5236817 6979440 7303920 10473634 15710451 20947268 26184085 31420902 41894536 52368170 62841804 68078621 78552255 83789072 104736340 125683608 136157242 157104510 204235863 209472680 251367216 272314484 314209020 340393105 408471726 418945360 544628968 628418040 680786210 816943452 1021179315 1089257936 1256836080 1361572420 1633886904 2042358630 2723144840 3267773808 4084717260 5446289680 8169434520 16338869040