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49362174976 = 2105321312
BaseRepresentation
bin101101111110001101…
…110000010000000000
311201102010122022011211
4231332031300100000
51302043204044401
634402054415504
73365145364402
oct557615602000
9151363568154
1049362174976
1119a3072a734
129697361594
13486888c57a
142563b3cb72
15143d8a4951
hexb7e370400

49362174976 has 99 divisors (see below), whose sum is σ = 101346681373. Its totient is φ = 24030556160.

The previous prime is 49362174941. The next prime is 49362174977. The reversal of 49362174976 is 67947126394.

The square root of 49362174976 is 222176.

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., 35585049600 + 13777125376 = 188640^2 + 117376^2 .

It is a super-2 number, since 2×493621749762 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 49362174976.

It is not an unprimeable number, because it can be changed into a prime (49362174977) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 376810431 + ... + 376810561.

Almost surely, 249362174976 is an apocalyptic number.

49362174976 is the 222176-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49362174976

49362174976 is an abundant number, since it is smaller than the sum of its proper divisors (51984506397).

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

49362174976 is an frugal number, since it uses more digits than its factorization.

49362174976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 186 counting only the distinct ones).

The product of its digits is 13716864, while the sum is 58.

The spelling of 49362174976 in words is "forty-nine billion, three hundred sixty-two million, one hundred seventy-four thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 32 53 64 106 128 131 212 256 262 424 512 524 848 1024 1048 1696 2096 2809 3392 4192 5618 6784 6943 8384 11236 13568 13886 16768 17161 22472 27136 27772 33536 34322 44944 54272 55544 67072 68644 89888 111088 134144 137288 179776 222176 274576 359552 367979 444352 549152 719104 735958 888704 909533 1098304 1438208 1471916 1777408 1819066 2196608 2876416 2943832 3554816 3638132 4393216 5887664 7109632 7276264 8786432 11775328 14552528 17572864 23550656 29105056 47101312 48205249 58210112 94202624 96410498 116420224 188405248 192820996 232840448 376810496 385641992 465680896 771283984 931361792 1542567968 3085135936 6170271872 12340543744 24681087488 49362174976