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245437144704 = 2732213053077
BaseRepresentation
bin1110010010010100110…
…0011001111010000000
3212110111221021210100200
43210211030121322000
513010123402112304
6304430253445200
723506106210433
oct3444514317200
9773457253320
10245437144704
11950a8962564
123b6984a0800
131a1b597890b
14bc4482381a
1565b7461e39
hex3925319e80

245437144704 has 48 divisors (see below), whose sum is σ = 706270953570. Its totient is φ = 81812381184.

The previous prime is 245437144699. The next prime is 245437144747. The reversal of 245437144704 is 407441734542.

245437144704 is a `hidden beast` number, since 2 + 4 + 5 + 437 + 144 + 70 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 202608014400 + 42829130304 = 450120^2 + 206952^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 245437144704.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 106525387 + ... + 106527690.

Almost surely, 2245437144704 is an apocalyptic number.

245437144704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

245437144704 is an abundant number, since it is smaller than the sum of its proper divisors (460833808866).

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

245437144704 is a wasteful number, since it uses less digits than its factorization.

245437144704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213053097 (or 213053082 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 45.

The spelling of 245437144704 in words is "two hundred forty-five billion, four hundred thirty-seven million, one hundred forty-four thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 213053077 426106154 639159231 852212308 1278318462 1704424616 1917477693 2556636924 3408849232 3834955386 5113273848 6817698464 7669910772 10226547696 13635396928 15339821544 20453095392 27270793856 30679643088 40906190784 61359286176 81812381568 122718572352 245437144704