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991749089956 = 221927323592
BaseRepresentation
bin11100110111010001101…
…10100010101010100100
310111210212200212202201011
432123220312202222210
5112222100231334311
62035334144512004
7131436316113502
oct16335066425244
93453780782634
10991749089956
11352664563079
1214025a91b604
13726a1a84a51
1436002707672
151abe7207321
hexe6e8da2aa4

991749089956 has 81 divisors (see below), whose sum is σ = 1862337091041. Its totient is φ = 462049956288.

The previous prime is 991749089873. The next prime is 991749090023. The reversal of 991749089956 is 659980947199.

The square root of 991749089956 is 995866.

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

991749089956 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 562965096100 + 428783993856 = 750310^2 + 654816^2 .

It is a Harshad number since it is a multiple of its sum of digits (76).

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, 2762532105 + ... + 2762532463.

Almost surely, 2991749089956 is an apocalyptic number.

991749089956 is the 995866-th square number.

It is an amenable number.

991749089956 is a deficient number, since it is larger than the sum of its proper divisors (870588001085).

991749089956 is an equidigital number, since it uses as much as digits as its factorization.

991749089956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 906 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 396809280, while the sum is 76.

It can be divided in two parts, 991 and 749089956, that added together give a palindrome (749090947).

The spelling of 991749089956 in words is "nine hundred ninety-one billion, seven hundred forty-nine million, eighty-nine thousand, nine hundred fifty-six".

Divisors: 1 2 4 19 38 73 76 146 292 359 361 718 722 1387 1436 1444 2774 5329 5548 6821 10658 13642 21316 26207 26353 27284 52414 52706 101251 104828 105412 128881 129599 202502 257762 259198 405004 497933 515524 518396 995866 1913111 1923769 1991732 2448739 3826222 3847538 4897478 7652444 7695076 9408313 9460727 9794956 18816626 18921454 36349109 37633252 37842908 46526041 72698218 93052082 145396436 178757947 186104164 357515894 686806849 690633071 715031788 1373613698 1381266142 2747227396 2762532284 3396400993 6792801986 13049330131 13585603972 26098660262 52197320524 247937272489 495874544978 991749089956