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49892369956 = 22114132712
BaseRepresentation
bin101110011101110100…
…010010011000100100
311202210002021222221221
4232131310102120210
51304134421314311
634530434350124
73414244101352
oct563564223044
9152702258857
1049892369956
111a182a40000
129804a2b344
134921687300
1425b43147d2
1514701d4671
hexb9dd12624

49892369956 has 135 divisors (see below), whose sum is σ = 105483772065. Its totient is φ = 20639018400.

The previous prime is 49892369909. The next prime is 49892369983. The reversal of 49892369956 is 65996329894.

The square root of 49892369956 is 223366.

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., 7380528100 + 42511841856 = 85910^2 + 206184^2 .

It is a Duffinian number.

Its product of digits (226748160) is a multiple of the sum of its prime factors (216).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 702709401 + ... + 702709471.

Almost surely, 249892369956 is an apocalyptic number.

49892369956 is the 223366-th square number.

It is an amenable number.

49892369956 is an abundant number, since it is smaller than the sum of its proper divisors (55591402109).

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

49892369956 is an equidigital number, since it uses as much as digits as its factorization.

49892369956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 97 counting only the distinct ones).

The product of its digits is 226748160, while the sum is 70.

The spelling of 49892369956 in words is "forty-nine billion, eight hundred ninety-two million, three hundred sixty-nine thousand, nine hundred fifty-six".

Divisors: 1 2 4 11 13 22 26 44 52 71 121 142 143 169 242 284 286 338 484 572 676 781 923 1331 1562 1573 1846 1859 2662 3124 3146 3692 3718 5041 5324 6292 7436 8591 10082 10153 11999 14641 17182 17303 20164 20306 20449 23998 29282 34364 34606 40612 40898 47996 55451 58564 65533 69212 81796 94501 110902 111683 131066 131989 189002 190333 221804 223366 224939 262132 263978 378004 380666 446732 449878 527956 609961 720863 761332 851929 899756 1039511 1219922 1228513 1441726 1451879 1703858 2079022 2439844 2457026 2474329 2883452 2903758 3407716 4158044 4914052 4948658 5807516 6709571 7929493 9371219 9897316 13419142 13513643 15858986 15970669 18742438 26838284 27027286 31717972 31941338 37484876 54054572 63882676 73805281 87224423 103083409 147610562 174448846 175677359 206166818 295221124 348897692 351354718 412333636 702709436 959468653 1133917499 1918937306 2267834998 3837874612 4535669996 12473092489 24946184978 49892369956