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53375431408 = 24131935573797
BaseRepresentation
bin110001101101011011…
…000111001011110000
312002202211021212000221
4301231123013023300
51333303102301113
640304220422424
73566456452435
oct615533071360
9162684255027
1053375431408
1120700048692
12a4173a7a14
135058172b10
142824b43b8c
1515c5d9798d
hexc6d6c72f0

53375431408 has 80 divisors (see below), whose sum is σ = 117295305120. Its totient is φ = 23325539328.

The previous prime is 53375431387. The next prime is 53375431409. The reversal of 53375431408 is 80413457335.

It is a super-2 number, since 2×533754314082 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53375431409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14055366 + ... + 14059162.

It is an arithmetic number, because the mean of its divisors is an integer number (1466191314).

Almost surely, 253375431408 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 53375431408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58647652560).

53375431408 is an abundant number, since it is smaller than the sum of its proper divisors (63919873712).

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

53375431408 is a wasteful number, since it uses less digits than its factorization.

53375431408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7394 (or 7388 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 43.

The spelling of 53375431408 in words is "fifty-three billion, three hundred seventy-five million, four hundred thirty-one thousand, four hundred eight".

Divisors: 1 2 4 8 13 16 19 26 38 52 76 104 152 208 247 304 494 988 1976 3557 3797 3952 7114 7594 14228 15188 28456 30376 46241 49361 56912 60752 67583 72143 92482 98722 135166 144286 184964 197444 270332 288572 369928 394888 540664 577144 739856 789776 878579 937859 1081328 1154288 1757158 1875718 3514316 3751436 7028632 7502872 13505929 14057264 15005744 27011858 54023716 108047432 175577077 216094864 256612651 351154154 513225302 702308308 1026450604 1404616616 2052901208 2809233232 3335964463 4105802416 6671928926 13343857852 26687715704 53375431408