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98136797920 = 2557269332537
BaseRepresentation
bin101101101100101101…
…0001011001011100000
3100101022022200212111021
41123121122023023200
53101441010013140
6113030004055224
710042631006320
oct1333132131340
9311268625437
1098136797920
113868a733877
1217029994514
13933c7c10c5
144a6d815280
152845899b4a
hex16d968b2e0

98136797920 has 96 divisors (see below), whose sum is σ = 265075892928. Its totient is φ = 33633374208.

The previous prime is 98136797887. The next prime is 98136797947. The reversal of 98136797920 is 2979763189.

98136797920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×981367979202 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 2999892 + ... + 3032428.

It is an arithmetic number, because the mean of its divisors is an integer number (2761207218).

Almost surely, 298136797920 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 98136797920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132537946464).

98136797920 is an abundant number, since it is smaller than the sum of its proper divisors (166939095008).

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

98136797920 is a wasteful number, since it uses less digits than its factorization.

98136797920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35252 (or 35244 counting only the distinct ones).

The product of its (nonzero) digits is 10287648, while the sum is 61.

The spelling of 98136797920 in words is "ninety-eight billion, one hundred thirty-six million, seven hundred ninety-seven thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 2693 5386 10772 13465 18851 21544 26930 32537 37702 43088 53860 65074 75404 86176 94255 107720 130148 150808 162685 188510 215440 227759 260296 301616 325370 377020 430880 455518 520592 603232 650740 754040 911036 1041184 1138795 1301480 1508080 1822072 2277590 2602960 3016160 3644144 4555180 5205920 7288288 9110360 18220720 36441440 87622141 175244282 350488564 438110705 613354987 700977128 876221410 1226709974 1401954256 1752442820 2453419948 2803908512 3066774935 3504885640 4906839896 6133549870 7009771280 9813679792 12267099740 14019542560 19627359584 24534199480 49068398960 98136797920