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49817151920 = 2458910136907
BaseRepresentation
bin101110011001010101…
…010110100110110000
311202120211202112012202
4232121111112212300
51304011142330140
634515150242332
73412341542654
oct563125264660
9152524675182
1049817151920
111a144535638
1297a37b63a8
13490bc0c6b3
1425a8334a64
1514687c7915
hexb995569b0

49817151920 has 80 divisors (see below), whose sum is σ = 117258878880. Its totient is φ = 19680663552.

The previous prime is 49817151893. The next prime is 49817151949. The reversal of 49817151920 is 2915171894.

49817151920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

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, 7209107 + ... + 7216013.

It is an arithmetic number, because the mean of its divisors is an integer number (1465735986).

Almost surely, 249817151920 is an apocalyptic number.

49817151920 is a gapful number since it is divisible by the number (40) 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 49817151920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58629439440).

49817151920 is an abundant number, since it is smaller than the sum of its proper divisors (67441726960).

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

49817151920 is a wasteful number, since it uses less digits than its factorization.

49817151920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8022 (or 8016 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 47.

The spelling of 49817151920 in words is "forty-nine billion, eight hundred seventeen million, one hundred fifty-one thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 89 178 356 445 712 890 1013 1424 1780 2026 3560 4052 5065 6907 7120 8104 10130 13814 16208 20260 27628 34535 40520 55256 69070 81040 90157 110512 138140 180314 276280 360628 450785 552560 614723 721256 901570 1229446 1442512 1803140 2458892 3073615 3606280 4917784 6147230 6996791 7212560 9835568 12294460 13993582 24588920 27987164 34983955 49177840 55974328 69967910 111948656 139935820 279871640 559743280 622714399 1245428798 2490857596 3113571995 4981715192 6227143990 9963430384 12454287980 24908575960 49817151920