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3098952158304 = 253229397355073
BaseRepresentation
bin101101000110000111111…
…100010100110001100000
3101222020221022012202010010
4231012013330110301200
5401233123223031204
610331350003404520
7436614631503402
oct55060774246140
911866838182103
103098952158304
11a95292781902
12420720983740
131962cb221572
14a9dc0b14b72
155592699bd89
hex2d187f14c60

3098952158304 has 96 divisors (see below), whose sum is σ = 8190875437920. Its totient is φ = 1025879703552.

The previous prime is 3098952158297. The next prime is 3098952158329. The reversal of 3098952158304 is 4038512598903.

It is a happy number.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8550112 + ... + 8905184.

It is an arithmetic number, because the mean of its divisors is an integer number (85321619145).

Almost surely, 23098952158304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3098952158304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4095437718960).

3098952158304 is an abundant number, since it is smaller than the sum of its proper divisors (5091923279616).

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

3098952158304 is a wasteful number, since it uses less digits than its factorization.

3098952158304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355712 (or 355704 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 57.

The spelling of 3098952158304 in words is "three trillion, ninety-eight billion, nine hundred fifty-two million, one hundred fifty-eight thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 229 397 458 687 794 916 1191 1374 1588 1832 2382 2748 3176 3664 4764 5496 6352 7328 9528 10992 12704 19056 21984 38112 90913 181826 272739 355073 363652 545478 710146 727304 1065219 1090956 1420292 1454608 2130438 2181912 2840584 2909216 4260876 4363824 5681168 8521752 8727648 11362336 17043504 34087008 81311717 140963981 162623434 243935151 281927962 325246868 422891943 487870302 563855924 650493736 845783886 975740604 1127711848 1300987472 1691567772 1951481208 2255423696 2601974944 3383135544 3902962416 4510847392 6766271088 7805924832 13532542176 32280751649 64561503298 96842254947 129123006596 193684509894 258246013192 387369019788 516492026384 774738039576 1032984052768 1549476079152 3098952158304