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245525466144 = 2537603760521
BaseRepresentation
bin1110010010101001110…
…1010100110000100000
3212110202002110222121010
43210222131110300200
513010314004404034
6304443130500520
723511231012360
oct3445235246040
9773662428533
10245525466144
11951437a7792
123b701b94740
131a1cb06081a
14bc524549a0
1565c00ab3e9
hex392a754c20

245525466144 has 96 divisors (see below), whose sum is σ = 736710581376. Its totient is φ = 70137354240.

The previous prime is 245525466127. The next prime is 245525466169. The reversal of 245525466144 is 441664525542.

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 junction number, because it is equal to n+sod(n) for n = 245525466093 and 245525466102.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4026604 + ... + 4087124.

It is an arithmetic number, because the mean of its divisors is an integer number (7674068556).

Almost surely, 2245525466144 is an apocalyptic number.

245525466144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

245525466144 is an abundant number, since it is smaller than the sum of its proper divisors (491185115232).

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

245525466144 is a wasteful number, since it uses less digits than its factorization.

245525466144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66578 (or 66570 counting only the distinct ones).

The product of its digits is 4608000, while the sum is 48.

The spelling of 245525466144 in words is "two hundred forty-five billion, five hundred twenty-five million, four hundred sixty-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 6037 12074 18111 24148 36222 42259 48296 60521 72444 84518 96592 121042 126777 144888 169036 181563 193184 242084 253554 289776 338072 363126 423647 484168 507108 579552 676144 726252 847294 968336 1014216 1270941 1352288 1452504 1694588 1936672 2028432 2541882 2905008 3389176 4056864 5083764 5810016 6778352 10167528 13556704 20335056 40670112 365365277 730730554 1096095831 1461461108 2192191662 2557556939 2922922216 4384383324 5115113878 5845844432 7672670817 8768766648 10230227756 11691688864 15345341634 17537533296 20460455512 30690683268 35075066592 40920911024 61381366536 81841822048 122762733072 245525466144