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30589045095504 = 2437614621322969
BaseRepresentation
bin1101111010010000100010…
…01010101011110001010000
311000022021200010222000010210
412331020101022223301100
513002132331021024004
6145020225135524120
76304662024161160
oct675102112536120
9130267603860123
1030589045095504
119823817557775
123520441389640
13140b6c460103c
1477a73673c5a0
15380a58014089
hex1bd2112abc50

30589045095504 has 160 divisors (see below), whose sum is σ = 91811162479360. Its totient is φ = 8594566041600.

The previous prime is 30589045095481. The next prime is 30589045095527. The reversal of 30589045095504 is 40559054098503.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (30589045095481) and next prime (30589045095527).

It is a congruent number.

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, 94550532 + ... + 94873500.

It is an arithmetic number, because the mean of its divisors is an integer number (573819765496).

Almost surely, 230589045095504 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 30589045095504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45905581239680).

30589045095504 is an abundant number, since it is smaller than the sum of its proper divisors (61222117383856).

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

30589045095504 is a wasteful number, since it uses less digits than its factorization.

30589045095504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327669 (or 327663 counting only the distinct ones).

The product of its (nonzero) digits is 19440000, while the sum is 57.

The spelling of 30589045095504 in words is "thirty trillion, five hundred eighty-nine billion, forty-five million, ninety-five thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 61 84 112 122 168 183 244 336 366 427 488 732 854 976 1281 1464 1708 2562 2928 3416 4621 5124 6832 9242 10248 13863 18484 20496 27726 32347 36968 55452 64694 73936 97041 110904 129388 194082 221808 258776 281881 322969 388164 517552 563762 645938 776328 845643 968907 1127524 1291876 1552656 1691286 1937814 1973167 2255048 2260783 2583752 3382572 3875628 3946334 4510096 4521566 5167504 5919501 6765144 6782349 7751256 7892668 9043132 11839002 13530288 13564698 15502512 15785336 18086264 19701109 23678004 27129396 31570672 36172528 39402218 47356008 54258792 59103327 78804436 94712016 108517584 118206654 137907763 157608872 236413308 275815526 315217744 413723289 472826616 551631052 827446578 945653232 1103262104 1492439749 1654893156 2206524208 2984879498 3309786312 4477319247 5969758996 6619572624 8954638494 10447078243 11939517992 17909276988 20894156486 23879035984 31341234729 35818553976 41788312972 62682469458 71637107952 83576625944 91038824689 125364938916 167153251888 182077649378 250729877832 273116474067 364155298756 501459755664 546232948134 637271772823 728310597512 1092465896268 1274543545646 1456621195024 1911815318469 2184931792536 2549087091292 3823630636938 4369863585072 5098174182584 7647261273876 10196348365168 15294522547752 30589045095504