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130496438976 = 26336711511609
BaseRepresentation
bin111100110001000110…
…0011010001011000000
3110110211112001221212120
41321202030122023000
54114224042021401
6135541011324240
712266552300211
oct1714214321300
9413745057776
10130496438976
1150385924082
122135abb0680
13c3c89b0ac7
14645d3b5408
1535db726836
hex1e6231a2c0

130496438976 has 112 divisors (see below), whose sum is σ = 346728775680. Its totient is φ = 43315660800.

The previous prime is 130496438953. The next prime is 130496438983. The reversal of 130496438976 is 679834694031.

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, 81103260 + ... + 81104868.

It is an arithmetic number, because the mean of its divisors is an integer number (3095792640).

Almost surely, 2130496438976 is an apocalyptic number.

130496438976 is a gapful number since it is divisible by the number (16) 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 130496438976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173364387840).

130496438976 is an abundant number, since it is smaller than the sum of its proper divisors (216232336704).

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

130496438976 is a wasteful number, since it uses less digits than its factorization.

130496438976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3142 (or 3132 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 60.

The spelling of 130496438976 in words is "one hundred thirty billion, four hundred ninety-six million, four hundred thirty-eight thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 367 734 1101 1151 1468 1609 2202 2302 2936 3218 3453 4404 4604 4827 5872 6436 6906 8808 9208 9654 11744 12872 13812 17616 18416 19308 23488 25744 27624 35232 36832 38616 51488 55248 70464 73664 77232 102976 110496 154464 220992 308928 422417 590503 844834 1181006 1267251 1689668 1771509 1851959 2362012 2534502 3379336 3543018 3703918 4724024 5069004 5555877 6758672 7086036 7407836 9448048 10138008 11111754 13517344 14172072 14815672 18896096 20276016 22223508 27034688 28344144 29631344 37792192 40552032 44447016 56688288 59262688 81104064 88894032 113376576 118525376 177788064 355576128 679668953 1359337906 2039006859 2718675812 4078013718 5437351624 8156027436 10874703248 16312054872 21749406496 32624109744 43498812992 65248219488 130496438976