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49749425460 = 223257269914629
BaseRepresentation
bin101110010101010010…
…111111110100110100
311202102010022122222100
4232111102333310310
51303341323103320
634504330502100
73410560065510
oct562522776464
9152363278870
1049749425460
111a10a287759
129784b94930
1348cab88977
14259d345140
15146289a790
hexb954bfd34

49749425460 has 144 divisors (see below), whose sum is σ = 172540368000. Its totient is φ = 11366307072.

The previous prime is 49749425419. The next prime is 49749425491. The reversal of 49749425460 is 6452494794.

49749425460 is a `hidden beast` number, since 4 + 9 + 7 + 4 + 94 + 2 + 546 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 49749425397 and 49749425406.

It is a congruent number.

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, 3393426 + ... + 3408054.

It is an arithmetic number, because the mean of its divisors is an integer number (1198197000).

Almost surely, 249749425460 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49749425460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86270184000).

49749425460 is an abundant number, since it is smaller than the sum of its proper divisors (122790942540).

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

49749425460 is a wasteful number, since it uses less digits than its factorization.

49749425460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17350 (or 17345 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 49749425460 in words is "forty-nine billion, seven hundred forty-nine million, four hundred twenty-five thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 2699 5398 8097 10796 13495 14629 16194 18893 24291 26990 29258 32388 37786 40485 43887 48582 53980 56679 58516 73145 75572 80970 87774 94465 97164 102403 113358 121455 131661 146290 161940 170037 175548 188930 204806 219435 226716 242910 263322 283395 292580 307209 340074 377860 409612 438870 485820 512015 526644 566790 614418 658305 680148 850185 877740 921627 1024030 1133580 1228836 1316610 1536045 1700370 1843254 2048060 2633220 3072090 3400740 3686508 4608135 6144180 9216270 18432540 39483671 78967342 118451013 157934684 197418355 236902026 276385697 355353039 394836710 473804052 552771394 592255065 710706078 789673420 829157091 1105542788 1184510130 1381928485 1421412156 1658314182 1776765195 2369020260 2487471273 2763856970 3316628364 3553530390 4145785455 4974942546 5527713940 7107060780 8291570910 9949885092 12437356365 16583141820 24874712730 49749425460