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53813154816 = 21035216263
BaseRepresentation
bin110010000111100000…
…111001010000000000
312010220022221111200000
4302013200321100000
51340202131423231
640415454400000
73613353161121
oct620740712000
9163808844600
1053813154816
1120905139773
12a519b00000
1350c7a61955
142866d28048
1515ee50d6e6
hexc87839400

53813154816 has 132 divisors (see below), whose sum is σ = 161140036512. Its totient is φ = 17937635328.

The previous prime is 53813154799. The next prime is 53813154839. The reversal of 53813154816 is 61845131835.

53813154816 is a `hidden beast` number, since 5 + 38 + 131 + 5 + 481 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 140701 + ... + 356963.

Almost surely, 253813154816 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 53813154816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80570018256).

53813154816 is an abundant number, since it is smaller than the sum of its proper divisors (107326881696).

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

53813154816 is an equidigital number, since it uses as much as digits as its factorization.

53813154816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216298 (or 216268 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

The spelling of 53813154816 in words is "fifty-three billion, eight hundred thirteen million, one hundred fifty-four thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 768 864 972 1024 1152 1296 1536 1728 1944 2304 2592 3072 3456 3888 4608 5184 6912 7776 9216 10368 13824 15552 20736 27648 31104 41472 62208 82944 124416 216263 248832 432526 648789 865052 1297578 1730104 1946367 2595156 3460208 3892734 5190312 5839101 6920416 7785468 10380624 11678202 13840832 15570936 17517303 20761248 23356404 27681664 31141872 35034606 41522496 46712808 52551909 55363328 62283744 70069212 83044992 93425616 105103818 110726656 124567488 140138424 166089984 186851232 210207636 221453312 249134976 280276848 332179968 373702464 420415272 498269952 560553696 664359936 747404928 840830544 996539904 1121107392 1494809856 1681661088 1993079808 2242214784 2989619712 3363322176 4484429568 5979239424 6726644352 8968859136 13453288704 17937718272 26906577408 53813154816