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245517905340 = 223254729021029
BaseRepresentation
bin1110010010101000000…
…0011110110110111100
3212110201120020212010100
43210222000132312330
513010310040432330
6304442300441100
723511106522251
oct3445200366674
9773646225110
10245517905340
119513a503194
123b6bb549190
131a1c9614286
14bc51447428
1565be5b6060
hex392a01edbc

245517905340 has 72 divisors (see below), whose sum is σ = 760583154240. Its totient is φ = 64078429824.

The previous prime is 245517905309. The next prime is 245517905389. The reversal of 245517905340 is 43509715542.

245517905340 is a `hidden beast` number, since 2 + 4 + 5 + 517 + 90 + 5 + 3 + 40 = 666.

245517905340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 14502055 + ... + 14518974.

It is an arithmetic number, because the mean of its divisors is an integer number (10563654920).

Almost surely, 2245517905340 is an apocalyptic number.

245517905340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

245517905340 is an abundant number, since it is smaller than the sum of its proper divisors (515065248900).

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

245517905340 is a wasteful number, since it uses less digits than its factorization.

245517905340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29021091 (or 29021086 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 245517905340 in words is "two hundred forty-five billion, five hundred seventeen million, nine hundred five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 47 60 90 94 141 180 188 235 282 423 470 564 705 846 940 1410 1692 2115 2820 4230 8460 29021029 58042058 87063087 116084116 145105145 174126174 261189261 290210290 348252348 435315435 522378522 580420580 870630870 1044757044 1305946305 1363988363 1741261740 2611892610 2727976726 4091965089 5223785220 5455953452 6819941815 8183930178 12275895267 13639883630 16367860356 20459825445 24551790534 27279767260 40919650890 49103581068 61379476335 81839301780 122758952670 245517905340