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53245197792 = 25321995031847
BaseRepresentation
bin110001100101101010…
…010011110111100000
312002102202020022002200
4301211222103313200
51333021232312132
640243245213200
73563315466543
oct614552236740
9162382208080
1053245197792
11206435871a6
12a39b861200
1350371a4bc7
14281172285a
1515b971ed7c
hexc65a93de0

53245197792 has 144 divisors (see below), whose sum is σ = 152562009600. Its totient is φ = 17614561536.

The previous prime is 53245197791. The next prime is 53245197793. The reversal of 53245197792 is 29779154235.

53245197792 is a `hidden beast` number, since 5 + 32 + 4 + 519 + 7 + 7 + 92 = 666.

53245197792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (53245197791) and next prime (53245197793).

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53245197791) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28827013 + ... + 28828859.

It is an arithmetic number, because the mean of its divisors is an integer number (1059458400).

Almost surely, 253245197792 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 53245197792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76281004800).

53245197792 is an abundant number, since it is smaller than the sum of its proper divisors (99316811808).

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

53245197792 is a wasteful number, since it uses less digits than its factorization.

53245197792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2565 (or 2554 counting only the distinct ones).

The product of its digits is 4762800, while the sum is 54.

The spelling of 53245197792 in words is "fifty-three billion, two hundred forty-five million, one hundred ninety-seven thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 199 288 398 503 597 796 1006 1194 1509 1592 1791 1847 2012 2388 3018 3184 3582 3694 4024 4527 4776 5541 6036 6368 7164 7388 8048 9054 9552 11082 12072 14328 14776 16096 16623 18108 19104 22164 24144 28656 29552 33246 36216 44328 48288 57312 59104 66492 72432 88656 100097 132984 144864 177312 200194 265968 300291 367553 400388 531936 600582 735106 800776 900873 929041 1102659 1201164 1470212 1601552 1801746 1858082 2205318 2402328 2787123 2940424 3203104 3307977 3603492 3716164 4410636 4804656 5574246 5880848 6615954 7206984 7432328 8361369 8821272 9609312 11148492 11761696 13231908 14413968 14864656 16722738 17642544 22296984 26463816 28827936 29729312 33445476 35285088 44593968 52927632 66890952 89187936 105855264 133781904 184879159 267563808 369758318 554637477 739516636 1109274954 1479033272 1663912431 2218549908 2958066544 3327824862 4437099816 5916133088 6655649724 8874199632 13311299448 17748399264 26622598896 53245197792