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49656733016 = 231119234612801
BaseRepresentation
bin101110001111110001…
…011001110101011000
311202011122220101211212
4232033301121311120
51303144110424031
634451220042252
73405353160242
oct561761316530
9152148811755
1049656733016
111a071a27530
129759b33388
1348b4903377
142590cd7092
15145968b12b
hexb8fc59d58

49656733016 has 128 divisors (see below), whose sum is σ = 111846873600. Its totient is φ = 20401920000.

The previous prime is 49656733001. The next prime is 49656733043. The reversal of 49656733016 is 61033765694.

It is a super-2 number, since 2×496567330162 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

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, 17726816 + ... + 17729616.

It is an arithmetic number, because the mean of its divisors is an integer number (873803700).

Almost surely, 249656733016 is an apocalyptic number.

49656733016 is a gapful number since it is divisible by the number (46) 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 49656733016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55923436800).

49656733016 is an abundant number, since it is smaller than the sum of its proper divisors (62190140584).

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

49656733016 is a wasteful number, since it uses less digits than its factorization.

49656733016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3321 (or 3317 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 50.

The spelling of 49656733016 in words is "forty-nine billion, six hundred fifty-six million, seven hundred thirty-three thousand, sixteen".

Divisors: 1 2 4 8 11 19 22 23 38 44 46 76 88 92 152 184 209 253 418 437 461 506 836 874 922 1012 1672 1748 1844 2024 2801 3496 3688 4807 5071 5602 8759 9614 10142 10603 11204 17518 19228 20284 21206 22408 30811 35036 38456 40568 42412 53219 61622 64423 70072 84824 96349 106438 116633 123244 128846 192698 201457 212876 233266 246488 257692 385396 402914 425752 466532 515384 585409 708653 770792 805828 933064 1170818 1224037 1291261 1417306 1611656 2216027 2341636 2448074 2582522 2834612 4432054 4683272 4896148 5165044 5669224 8864108 9792296 10330088 13464407 14203871 17728216 24533959 26928814 28407742 29699003 49067918 53857628 56815484 59398006 98135836 107715256 113630968 118796012 196271672 237592024 269873549 326689033 539747098 564281057 653378066 1079494196 1128562114 1306756132 2158988392 2257124228 2613512264 4514248456 6207091627 12414183254 24828366508 49656733016