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248110683080 = 2351313122316333
BaseRepresentation
bin1110011100010010001…
…1001001001111001000
3212201102021000121112112
43213010203021033020
513031112313324310
6305551441001452
723632262003111
oct3470443111710
9781367017475
10248110683080
1196250015507
1240103923288
131a520828aa0
14c019929208
1566c201b705
hex39c48c93c8

248110683080 has 128 divisors (see below), whose sum is σ = 608534277120. Its totient is φ = 90497571840.

The previous prime is 248110683059. The next prime is 248110683101. The reversal of 248110683080 is 80386011842.

It is an interprime number because it is at equal distance from previous prime (248110683059) and next prime (248110683101).

It is a super-2 number, since 2×2481106830802 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15182594 + ... + 15198926.

It is an arithmetic number, because the mean of its divisors is an integer number (4754174040).

Almost surely, 2248110683080 is an apocalyptic number.

248110683080 is a gapful number since it is divisible by the number (20) 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 248110683080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304267138560).

248110683080 is an abundant number, since it is smaller than the sum of its proper divisors (360423594040).

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

248110683080 is a wasteful number, since it uses less digits than its factorization.

248110683080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16711 (or 16707 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 41.

The spelling of 248110683080 in words is "two hundred forty-eight billion, one hundred ten million, six hundred eighty-three thousand, eighty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 131 223 260 262 446 520 524 655 892 1048 1115 1310 1703 1784 2230 2620 2899 3406 4460 5240 5798 6812 8515 8920 11596 13624 14495 16333 17030 23192 28990 29213 32666 34060 57980 58426 65332 68120 81665 115960 116852 130664 146065 163330 212329 233704 292130 326660 379769 424658 584260 653320 759538 849316 1061645 1168520 1519076 1698632 1898845 2123290 2139623 3038152 3642259 3797690 4246580 4279246 7284518 7595380 8493160 8558492 10698115 14569036 15190760 17116984 18211295 21396230 27815099 29138072 36422590 42792460 47349367 55630198 72845180 85584920 94698734 111260396 139075495 145690360 189397468 222520792 236746835 278150990 378794936 473493670 477135929 556301980 946987340 954271858 1112603960 1893974680 1908543716 2385679645 3817087432 4771359290 6202767077 9542718580 12405534154 19085437160 24811068308 31013835385 49622136616 62027670770 124055341540 248110683080