Search a number
-
+
3249109690080 = 253561110966861
BaseRepresentation
bin101111010001111110000…
…001110110011011100000
3102111121112001002200221220
4233101332001312123200
5411213134040040310
610524342000415040
7453511652454102
oct57217601663340
912447461080856
103249109690080
111042a37796a01
12445848317480
131a750b308b97
14b3387391572
15597b42e7670
hex2f47e0766e0

3249109690080 has 96 divisors (see below), whose sum is σ = 10402477511328. Its totient is φ = 852225484800.

The previous prime is 3249109690067. The next prime is 3249109690111. The reversal of 3249109690080 is 800969019423.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55454151 + ... + 55512710.

It is an arithmetic number, because the mean of its divisors is an integer number (108359140743).

Almost surely, 23249109690080 is an apocalyptic number.

3249109690080 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3249109690080 is an abundant number, since it is smaller than the sum of its proper divisors (7153367821248).

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

3249109690080 is a wasteful number, since it uses less digits than its factorization.

3249109690080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110966940 (or 110966932 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 51.

The spelling of 3249109690080 in words is "three trillion, two hundred forty-nine billion, one hundred nine million, six hundred ninety thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 61 80 96 120 122 160 183 240 244 305 366 480 488 610 732 915 976 1220 1464 1830 1952 2440 2928 3660 4880 5856 7320 9760 14640 29280 110966861 221933722 332900583 443867444 554834305 665801166 887734888 1109668610 1331602332 1664502915 1775469776 2219337220 2663204664 3329005830 3550939552 4438674440 5326409328 6658011660 6768978521 8877348880 10652818656 13316023320 13537957042 17754697760 20306935563 26632046640 27075914084 33844892605 40613871126 53264093280 54151828168 67689785210 81227742252 101534677815 108303656336 135379570420 162455484504 203069355630 216607312672 270759140840 324910969008 406138711260 541518281680 649821938016 812277422520 1083036563360 1624554845040 3249109690080