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136421660680 = 2354322696857
BaseRepresentation
bin111111100001101011…
…1010101100000001000
3111001010110102102000021
41333003113111200020
54213342421120210
6142400553350224
712566440661104
oct1770327254010
9431113372007
10136421660680
115294651a918
1222533408374
13cb31427156
1468622ba904
1538369dcbda
hex1fc35d5808

136421660680 has 96 divisors (see below), whose sum is σ = 315467314200. Its totient is φ = 53093741568.

The previous prime is 136421660677. The next prime is 136421660689. The reversal of 136421660680 is 86066124631.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 30688733124 + 105732927556 = 175182^2 + 325166^2 .

It is a super-2 number, since 2×1364216606802 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is not an unprimeable number, because it can be changed into a prime (136421660689) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19891812 + ... + 19898668.

Almost surely, 2136421660680 is an apocalyptic number.

136421660680 is a gapful number since it is divisible by the number (10) 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 136421660680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157733657100).

136421660680 is an abundant number, since it is smaller than the sum of its proper divisors (179045653520).

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

136421660680 is a wasteful number, since it uses less digits than its factorization.

136421660680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7223 (or 7176 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 43.

The spelling of 136421660680 in words is "one hundred thirty-six billion, four hundred twenty-one million, six hundred sixty thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 43 86 172 215 269 344 430 538 860 1076 1345 1720 1849 2152 2690 3698 5380 6857 7396 9245 10760 11567 13714 14792 18490 23134 27428 34285 36980 46268 54856 57835 68570 73960 92536 115670 137140 231340 274280 294851 462680 497381 589702 994762 1179404 1474255 1844533 1989524 2358808 2486905 2948510 3689066 3979048 4973810 5897020 7378132 9222665 9947620 11794040 12678593 14756264 18445330 19895240 25357186 36890660 50714372 63392965 73781320 79314919 101428744 126785930 158629838 253571860 317259676 396574595 507143720 634519352 793149190 1586298380 3172596760 3410541517 6821083034 13642166068 17052707585 27284332136 34105415170 68210830340 136421660680