Search a number
-
+
60721115136 = 212311449227
BaseRepresentation
bin111000100011010000…
…101011000000000000
312210201202111020202020
4320203100223000000
51443324101141021
643521144121440
74246503651123
oct704320530000
9183652436666
1060721115136
112382a539590
12b927466280
135958c80436
142d205663ba
1518a5be67c6
hexe2342b000

60721115136 has 104 divisors (see below), whose sum is σ = 176622074304. Its totient is φ = 18400296960.

The previous prime is 60721115131. The next prime is 60721115141. The reversal of 60721115136 is 63151112706.

It is an interprime number because it is at equal distance from previous prime (60721115131) and next prime (60721115141).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 60721115097 and 60721115106.

It is not an unprimeable number, because it can be changed into a prime (60721115131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 89446 + ... + 359781.

It is an arithmetic number, because the mean of its divisors is an integer number (1698289176).

Almost surely, 260721115136 is an apocalyptic number.

60721115136 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

60721115136 is an abundant number, since it is smaller than the sum of its proper divisors (115900959168).

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

60721115136 is a wasteful number, since it uses less digits than its factorization.

60721115136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449265 (or 449243 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 33.

The spelling of 60721115136 in words is "sixty billion, seven hundred twenty-one million, one hundred fifteen thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 1024 1056 1408 1536 2048 2112 2816 3072 4096 4224 5632 6144 8448 11264 12288 16896 22528 33792 45056 67584 135168 449227 898454 1347681 1796908 2695362 3593816 4941497 5390724 7187632 9882994 10781448 14375264 14824491 19765988 21562896 28750528 29648982 39531976 43125792 57501056 59297964 79063952 86251584 115002112 118595928 158127904 172503168 230004224 237191856 316255808 345006336 460008448 474383712 632511616 690012672 920016896 948767424 1265023232 1380025344 1840033792 1897534848 2530046464 2760050688 3795069696 5060092928 5520101376 7590139392 10120185856 15180278784 20240371712 30360557568 60721115136