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53413563760 = 2455918776029
BaseRepresentation
bin110001101111101100…
…100100110101110000
312002212111001011210021
4301233230210311300
51333342333020020
640312102013224
73600431541454
oct615754446560
9162774034707
1053413563760
112071a623027
12a428117214
13506303453b
142829c2c664
1515c93cb1aa
hexc6fb24d70

53413563760 has 80 divisors (see below), whose sum is σ = 126379634400. Its totient is φ = 20988627968.

The previous prime is 53413563751. The next prime is 53413563769. The reversal of 53413563760 is 6736531435.

It is an interprime number because it is at equal distance from previous prime (53413563751) and next prime (53413563769).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53413563769) 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, 8856426 + ... + 8862454.

It is an arithmetic number, because the mean of its divisors is an integer number (1579745430).

Almost surely, 253413563760 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 53413563760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63189817200).

53413563760 is an abundant number, since it is smaller than the sum of its proper divisors (72966070640).

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

53413563760 is a wasteful number, since it uses less digits than its factorization.

53413563760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7978 (or 7972 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 43.

The spelling of 53413563760 in words is "fifty-three billion, four hundred thirteen million, five hundred sixty-three thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 59 80 118 236 295 472 590 944 1180 1877 2360 3754 4720 6029 7508 9385 12058 15016 18770 24116 30032 30145 37540 48232 60290 75080 96464 110743 120580 150160 221486 241160 355711 442972 482320 553715 711422 885944 1107430 1422844 1771888 1778555 2214860 2845688 3557110 4429720 5691376 7114220 8859440 11316433 14228440 22632866 28456880 45265732 56582165 90531464 113164330 181062928 226328660 452657320 667669547 905314640 1335339094 2670678188 3338347735 5341356376 6676695470 10682712752 13353390940 26706781880 53413563760