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245010142520 = 235111359725999
BaseRepresentation
bin1110010000101110111…
…1100001010100111000
3212102102011210211110222
43210023233201110320
513003240044030040
6304320041355212
723462402564213
oct3441357412470
9772364724428
10245010142520
11949a99244a0
123b599498b08
131a1483719c0
14bc03c3077a
15658ec17bb5
hex390bbe1538

245010142520 has 128 divisors (see below), whose sum is σ = 658627200000. Its totient is φ = 80847137280.

The previous prime is 245010142501. The next prime is 245010142523. The reversal of 245010142520 is 25241010542.

245010142520 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 (26).

It is a self number, because there is not a number n which added to its sum of digits gives 245010142520.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245010142523) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 25520 + ... + 700479.

It is an arithmetic number, because the mean of its divisors is an integer number (5145525000).

Almost surely, 2245010142520 is an apocalyptic number.

245010142520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245010142520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329313600000).

245010142520 is an abundant number, since it is smaller than the sum of its proper divisors (413617057480).

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

245010142520 is a wasteful number, since it uses less digits than its factorization.

245010142520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726093 (or 726089 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 26.

The spelling of 245010142520 in words is "two hundred forty-five billion, ten million, one hundred forty-two thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 59 65 88 104 110 118 130 143 220 236 260 286 295 440 472 520 572 590 649 715 767 1144 1180 1298 1430 1534 2360 2596 2860 3068 3245 3835 5192 5720 6136 6490 7670 8437 12980 15340 16874 25960 30680 33748 42185 67496 84370 168740 337480 725999 1451998 2903996 3629995 5807992 7259990 7985989 9437987 14519980 15971978 18875974 29039960 31943956 37751948 39929945 42833941 47189935 63887912 75503896 79859890 85667882 94379870 103817857 159719780 171335764 188759740 207635714 214169705 319439560 342671528 377519480 415271428 428339410 471173351 519089285 556841233 830542856 856678820 942346702 1038178570 1113682466 1713357640 1884693404 2076357140 2227364932 2355866755 2784206165 3769386808 4152714280 4454729864 4711733510 5568412330 6125253563 9423467020 11136824660 12250507126 18846934040 22273649320 24501014252 30626267815 49002028504 61252535630 122505071260 245010142520