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20820245248 = 281153139501
BaseRepresentation
bin10011011000111110…
…111011101100000000
31222201222222001012101
4103120332323230000
5320114440321443
613321550040144
71334642110315
oct233076735400
958658861171
1020820245248
118914538460
1240507a9054
131c6a5c875a
141017200d0c
1581cc9184d
hex4d8fbbb00

20820245248 has 72 divisors (see below), whose sum is σ = 46193018256. Its totient is φ = 9285120000.

The previous prime is 20820245231. The next prime is 20820245263. The reversal of 20820245248 is 84254202802.

It is a super-2 number, since 2×208202452482 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79498 + ... + 218998.

It is an arithmetic number, because the mean of its divisors is an integer number (641569698).

Almost surely, 220820245248 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 20820245248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23096509128).

20820245248 is an abundant number, since it is smaller than the sum of its proper divisors (25372773008).

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

20820245248 is a wasteful number, since it uses less digits than its factorization.

20820245248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139581 (or 139567 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 37.

The spelling of 20820245248 in words is "twenty billion, eight hundred twenty million, two hundred forty-five thousand, two hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 53 64 88 106 128 176 212 256 352 424 583 704 848 1166 1408 1696 2332 2816 3392 4664 6784 9328 13568 18656 37312 74624 139501 149248 279002 558004 1116008 1534511 2232016 3069022 4464032 6138044 7393553 8928064 12276088 14787106 17856128 24552176 29574212 35712256 49104352 59148424 81329083 98208704 118296848 162658166 196417408 236593696 325316332 392834816 473187392 650632664 946374784 1301265328 1892749568 2602530656 5205061312 10410122624 20820245248