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245551113540 = 2232510718017079
BaseRepresentation
bin1110010010101111111…
…1001010010101000100
3212110210212202000012200
43210223333022111010
513010342041113130
6304445444314500
723511662012205
oct3445377122504
9773725660180
10245551113540
1195157224a87
123b70a6a2a30
131a2034705b5
14bc55a0d5ac
1565c2475760
hex392bfca544

245551113540 has 144 divisors (see below), whose sum is σ = 752323178880. Its totient is φ = 64823155200.

The previous prime is 245551113529. The next prime is 245551113557. The reversal of 245551113540 is 45311155542.

245551113540 is a `hidden beast` number, since 2 + 4 + 5 + 5 + 511 + 135 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 245551113495 and 245551113504.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34683721 + ... + 34690799.

It is an arithmetic number, because the mean of its divisors is an integer number (5224466520).

Almost surely, 2245551113540 is an apocalyptic number.

245551113540 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 245551113540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376161589440).

245551113540 is an abundant number, since it is smaller than the sum of its proper divisors (506772065340).

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

245551113540 is a wasteful number, since it uses less digits than its factorization.

245551113540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9002 (or 8997 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

The spelling of 245551113540 in words is "two hundred forty-five billion, five hundred fifty-one million, one hundred thirteen thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 107 180 214 321 428 535 642 963 1070 1284 1605 1801 1926 2140 3210 3602 3852 4815 5403 6420 7079 7204 9005 9630 10806 14158 16209 18010 19260 21237 21612 27015 28316 32418 35395 36020 42474 54030 63711 64836 70790 81045 84948 106185 108060 127422 141580 162090 192707 212370 254844 318555 324180 385414 424740 578121 637110 757453 770828 963535 1156242 1274220 1514906 1734363 1927070 2272359 2312484 2890605 3029812 3468726 3787265 3854140 4544718 5781210 6817077 6937452 7574530 8671815 9089436 11361795 11562420 12749279 13634154 15149060 17343630 22723590 25498558 27268308 34085385 34687260 38247837 45447180 50997116 63746395 68170770 76495674 114743511 127492790 136341540 152991348 191239185 229487022 254985580 382478370 458974044 573717555 764956740 1147435110 1364172853 2294870220 2728345706 4092518559 5456691412 6820864265 8185037118 12277555677 13641728530 16370074236 20462592795 24555111354 27283457060 40925185590 49110222708 61387778385 81850371180 122775556770 245551113540