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49715620900 = 225211220272
BaseRepresentation
bin101110010011010010…
…000010110000100100
311202022202201012211121
4232103102002300210
51303304144332100
634501122143324
73406666543111
oct562322026044
9152282635747
1049715620900
111a0a2198900
1297757b1b44
1348c3b8107a
142598a65908
15145e91e51a
hexb93482c24

49715620900 has 81 divisors (see below), whose sum is σ = 118640557777. Its totient is φ = 18069488800.

The previous prime is 49715620883. The next prime is 49715620939. The reversal of 49715620900 is 902651794.

It is a happy number.

The square root of 49715620900 is 222970.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 17897623524 + 31817997376 = 133782^2 + 178376^2 .

It is a super-2 number, since 2×497156209002 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 24525687 + ... + 24527713.

Almost surely, 249715620900 is an apocalyptic number.

49715620900 is the 222970-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49715620900

49715620900 is an abundant number, since it is smaller than the sum of its proper divisors (68924936877).

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

49715620900 is a wasteful number, since it uses less digits than its factorization.

49715620900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4090 (or 2045 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 43.

The spelling of 49715620900 in words is "forty-nine billion, seven hundred fifteen million, six hundred twenty thousand, nine hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 484 550 605 1100 1210 2027 2420 3025 4054 6050 8108 10135 12100 20270 22297 40540 44594 50675 89188 101350 111485 202700 222970 245267 445940 490534 557425 981068 1114850 1226335 2229700 2452670 4108729 4905340 6131675 8217458 12263350 16434916 20543645 24526700 41087290 45196019 82174580 90392038 102718225 180784076 205436450 225980095 410872900 451960190 497156209 903920380 994312418 1129900475 1988624836 2259800950 2485781045 4519601900 4971562090 9943124180 12428905225 24857810450 49715620900