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36748942680 = 23352913180611
BaseRepresentation
bin100010001110011010…
…000101110101011000
310111212002121201021010
4202032122011311120
51100230212131210
624514321213520
72440446600402
oct421632056530
9114762551233
1036748942680
111464890260a
1271571912a0
1336086782c8
141ac88d1b72
15e513a0920
hex88e685d58

36748942680 has 128 divisors (see below), whose sum is σ = 114920467200. Its totient is φ = 9389452800.

The previous prime is 36748942673. The next prime is 36748942723. The reversal of 36748942680 is 8624984763.

It is a self number, because there is not a number n which added to its sum of digits gives 36748942680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 415575 + ... + 496185.

It is an arithmetic number, because the mean of its divisors is an integer number (897816150).

Almost surely, 236748942680 is an apocalyptic number.

36748942680 is a gapful number since it is divisible by the number (30) 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 36748942680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57460233600).

36748942680 is an abundant number, since it is smaller than the sum of its proper divisors (78171524520).

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

36748942680 is a wasteful number, since it uses less digits than its factorization.

36748942680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80785 (or 80781 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 57.

The spelling of 36748942680 in words is "thirty-six billion, seven hundred forty-eight million, nine hundred forty-two thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 131 145 174 232 262 290 348 393 435 524 580 655 696 786 870 1048 1160 1310 1572 1740 1965 2620 3144 3480 3799 3930 5240 7598 7860 11397 15196 15720 18995 22794 30392 37990 45588 56985 75980 80611 91176 113970 151960 161222 227940 241833 322444 403055 455880 483666 644888 806110 967332 1209165 1612220 1934664 2337719 2418330 3224440 4675438 4836660 7013157 9350876 9673320 10560041 11688595 14026314 18701752 21120082 23377190 28052628 31680123 35065785 42240164 46754380 52800205 56105256 63360246 70131570 84480328 93508760 105600410 126720492 140263140 158400615 211200820 253440984 280526280 306241189 316801230 422401640 612482378 633602460 918723567 1224964756 1267204920 1531205945 1837447134 2449929512 3062411890 3674894268 4593617835 6124823780 7349788536 9187235670 12249647560 18374471340 36748942680