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53132198880 = 2535195825899
BaseRepresentation
bin110001011110111011…
…010000001111100000
312002010212121100201210
4301132323100033200
51332303320331010
640224131230120
73560444144625
oct613673201740
9162125540653
1053132198880
1120595817472
12a369a48340
13501995c847
14280070a34c
1515ae84db20
hexc5eed03e0

53132198880 has 96 divisors (see below), whose sum is σ = 176175216000. Its totient is φ = 13422868992.

The previous prime is 53132198879. The next prime is 53132198887. The reversal of 53132198880 is 8889123135.

53132198880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53132198887) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2903830 + ... + 2922069.

It is an arithmetic number, because the mean of its divisors is an integer number (1835158500).

Almost surely, 253132198880 is an apocalyptic number.

It is an amenable number.

53132198880 is an abundant number, since it is smaller than the sum of its proper divisors (123043017120).

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

53132198880 is a wasteful number, since it uses less digits than its factorization.

53132198880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5825936 (or 5825928 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 48.

The spelling of 53132198880 in words is "fifty-three billion, one hundred thirty-two million, one hundred ninety-eight thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 76 80 95 96 114 120 152 160 190 228 240 285 304 380 456 480 570 608 760 912 1140 1520 1824 2280 3040 4560 9120 5825899 11651798 17477697 23303596 29129495 34955394 46607192 58258990 69910788 87388485 93214384 110692081 116517980 139821576 174776970 186428768 221384162 233035960 279643152 332076243 349553940 442768324 466071920 553460405 559286304 664152486 699107880 885536648 932143840 1106920810 1328304972 1398215760 1660381215 1771073296 2213841620 2656609944 2796431520 3320762430 3542146592 4427683240 5313219888 6641524860 8855366480 10626439776 13283049720 17710732960 26566099440 53132198880