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53416035144 = 2334277297589
BaseRepresentation
bin110001101111110110…
…000000001101001000
312002212122200201220000
4301233312000031020
51333344001111034
640312231003000
73600461543613
oct615766001510
9162778621800
1053416035144
1120720a6089a
12a428b09460
1350636bb3b4
14282a2b317a
1515c9718599
hexc6fd80348

53416035144 has 80 divisors (see below), whose sum is σ = 150154986300. Its totient is φ = 17741006208.

The previous prime is 53416035137. The next prime is 53416035161. The reversal of 53416035144 is 44153061435.

53416035144 is a `hidden beast` number, since 5 + 3 + 4 + 1 + 603 + 5 + 1 + 44 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 42737292900 + 10678742244 = 206730^2 + 103338^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 53416035099 and 53416035108.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 30702 + ... + 328290.

Almost surely, 253416035144 is an apocalyptic number.

53416035144 is a gapful number since it is divisible by the number (54) 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 53416035144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75077493150).

53416035144 is an abundant number, since it is smaller than the sum of its proper divisors (96738951156).

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

53416035144 is a wasteful number, since it uses less digits than its factorization.

53416035144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297884 (or 297871 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 53416035144 its reverse (44153061435), we get a palindrome (97569096579).

The spelling of 53416035144 in words is "fifty-three billion, four hundred sixteen million, thirty-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 277 324 554 648 831 1108 1662 2216 2493 3324 4986 6648 7479 9972 14958 19944 22437 29916 44874 59832 89748 179496 297589 595178 892767 1190356 1785534 2380712 2678301 3571068 5356602 7142136 8034903 10713204 16069806 21426408 24104709 32139612 48209418 64279224 82432153 96418836 164864306 192837672 247296459 329728612 494592918 659457224 741889377 989185836 1483778754 1978371672 2225668131 2967557508 4451336262 5935115016 6677004393 8902672524 13354008786 17805345048 26708017572 53416035144