Search a number
-
+
3330507429396 = 22327371272812577
BaseRepresentation
bin110000011101110001101…
…101100101011000010100
3102210101121210022021211200
4300131301231211120110
5414031334400220041
611030003004432500
7462423036024330
oct60356155453024
912711553267750
103330507429396
111074507688244
12459584248730
131b20b0baa484
14b72a9a107c0
155b97a3611b6
hex30771b65614

3330507429396 has 144 divisors (see below), whose sum is σ = 9959316197376. Its totient is φ = 918564820992.

The previous prime is 3330507429391. The next prime is 3330507429409. The reversal of 3330507429396 is 6939247050333.

3330507429396 is a `hidden beast` number, since 3 + 3 + 3 + 0 + 507 + 42 + 9 + 3 + 96 = 666.

It is a super-2 number, since 2×33305074293962 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3330507429391) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 222141 + ... + 2590436.

Almost surely, 23330507429396 is an apocalyptic number.

3330507429396 is a gapful number since it is divisible by the number (36) 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 3330507429396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4979658098688).

3330507429396 is an abundant number, since it is smaller than the sum of its proper divisors (6628808767980).

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

3330507429396 is a wasteful number, since it uses less digits than its factorization.

3330507429396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2812758 (or 2812753 counting only the distinct ones).

The product of its (nonzero) digits is 11022480, while the sum is 54.

The spelling of 3330507429396 in words is "three trillion, three hundred thirty billion, five hundred seven million, four hundred twenty-nine thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 37 42 63 74 84 111 126 127 148 222 252 254 259 333 381 444 508 518 666 762 777 889 1036 1143 1332 1524 1554 1778 2286 2331 2667 3108 3556 4572 4662 4699 5334 8001 9324 9398 10668 14097 16002 18796 28194 32004 32893 42291 56388 65786 84582 98679 131572 169164 197358 296037 394716 592074 1184148 2812577 5625154 8437731 11250308 16875462 19688039 25313193 33750924 39376078 50626386 59064117 78752156 101252772 104065349 118128234 177192351 208130698 236256468 312196047 354384702 357197279 416261396 624392094 708769404 714394558 728457443 936588141 1071591837 1248784188 1428789116 1456914886 1873176282 2143183674 2185372329 2500380953 2913829772 3214775511 3746352564 4286367348 4370744658 5000761906 6429551022 6556116987 7501142859 8741489316 10001523812 12859102044 13112233974 13216299323 15002285718 22503428577 26224467948 26432598646 30004571436 39648897969 45006857154 52865197292 79297795938 90013714308 92514095261 118946693907 158595591876 185028190522 237893387814 277542285783 370056381044 475786775628 555084571566 832626857349 1110169143132 1665253714698 3330507429396