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245428295304 = 233233120996833
BaseRepresentation
bin1110010010010010101…
…0101001011010001000
3212110111022122012021010
43210210222221122020
513010114120422204
6304425340043520
723505641042433
oct3444452513210
9773438565233
10245428295304
11950a3968905
123b6955335a0
131a1b3b9a99a
14bc4359c81a
1565b67b4d89
hex3924aa9688

245428295304 has 128 divisors (see below), whose sum is σ = 661312512000. Its totient is φ = 75681070080.

The previous prime is 245428295261. The next prime is 245428295317. The reversal of 245428295304 is 403592824542.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35914672 + ... + 35921504.

It is an arithmetic number, because the mean of its divisors is an integer number (5166504000).

Almost surely, 2245428295304 is an apocalyptic number.

245428295304 is a gapful number since it is divisible by the number (24) 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 245428295304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330656256000).

245428295304 is an abundant number, since it is smaller than the sum of its proper divisors (415884216696).

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

245428295304 is a wasteful number, since it uses less digits than its factorization.

245428295304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8995 (or 8991 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 48.

The spelling of 245428295304 in words is "two hundred forty-five billion, four hundred twenty-eight million, two hundred ninety-five thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 23 24 31 46 62 69 92 93 124 138 184 186 248 276 372 552 713 744 1426 2099 2139 2852 4198 4278 5704 6297 6833 8396 8556 12594 13666 16792 17112 20499 25188 27332 40998 48277 50376 54664 65069 81996 96554 130138 144831 157159 163992 193108 195207 211823 260276 289662 314318 386216 390414 423646 471477 520552 579324 628636 635469 780828 847292 942954 1158648 1257272 1270938 1496587 1561656 1694584 1885908 2541876 2993174 3771816 4489761 4871929 5083752 5986348 8979522 9743858 11972696 14342467 14615787 17959044 19487716 28684934 29231574 35918088 38975432 43027401 57369868 58463148 86054802 114739736 116926296 172109604 329876741 344219208 444616477 659753482 889232954 989630223 1319506964 1333849431 1778465908 1979260446 2639013928 2667698862 3556931816 3958520892 5335397724 7917041784 10226178971 10670795448 20452357942 30678536913 40904715884 61357073826 81809431768 122714147652 245428295304