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49975496704 = 212724992
BaseRepresentation
bin101110100010110001…
…011001000000000000
311202222212201021102101
4232202301121000000
51304322211343304
634543004200144
73416303466400
oct564261310000
9152885637371
1049975496704
111a2159573a1
129828839054
134935970933
1425c1392800
1514776548a4
hexba2c59000

49975496704 has 117 divisors (see below), whose sum is σ = 116488773387. Its totient is φ = 21375148032.

The previous prime is 49975496693. The next prime is 49975496713. The reversal of 49975496704 is 40769457994.

The square root of 49975496704 is 223552.

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

It is a Harshad number since it is a multiple of its sum of digits (64).

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 100151047 + ... + 100151545.

Almost surely, 249975496704 is an apocalyptic number.

49975496704 is the 223552-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49975496704

49975496704 is an abundant number, since it is smaller than the sum of its proper divisors (66513276683).

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

49975496704 is an frugal number, since it uses more digits than its factorization.

49975496704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1036 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 64.

Multiplying 49975496704 by its sum of digits (64), we get a square (3198431789056 = 17884162).

49975496704 divided by its sum of digits (64) gives a square (780867136 = 279442).

The spelling of 49975496704 in words is "forty-nine billion, nine hundred seventy-five million, four hundred ninety-six thousand, seven hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 499 512 784 896 998 1024 1568 1792 1996 2048 3136 3493 3584 3992 4096 6272 6986 7168 7984 12544 13972 14336 15968 24451 25088 27944 28672 31936 48902 50176 55888 63872 97804 100352 111776 127744 195608 200704 223552 249001 255488 391216 447104 498002 510976 782432 894208 996004 1021952 1564864 1743007 1788416 1992008 2043904 3129728 3486014 3576832 3984016 6259456 6972028 7153664 7968032 12201049 12518912 13944056 14307328 15936064 24402098 25037824 27888112 31872128 48804196 50075648 55776224 63744256 97608392 100151296 111552448 127488512 195216784 223104896 254977024 390433568 446209792 509954048 780867136 892419584 1019908096 1561734272 1784839168 3123468544 3569678336 6246937088 7139356672 12493874176 24987748352 49975496704