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36126420106623 = 373115954095963
BaseRepresentation
bin10000011011011010101100…
…11011111111110101111111
311201220122121022222010111120
420031231112123333311333
514213343402021402443
6204500125343522023
710416022240155000
oct1015552633776577
9151818538863446
1036126420106623
1110569146377770
124075660bb9313
131720925ab3562
148cc75700b1a7
15429ae7686083
hex20db566ffd7f

36126420106623 has 64 divisors (see below), whose sum is σ = 62318550528000. Its totient is φ = 18448886880480.

The previous prime is 36126420106619. The next prime is 36126420106631. The reversal of 36126420106623 is 32660102462163.

It is a happy number.

It is not a de Polignac number, because 36126420106623 - 22 = 36126420106619 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36126420105623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26380161 + ... + 27715802.

It is an arithmetic number, because the mean of its divisors is an integer number (973727352000).

Almost surely, 236126420106623 is an apocalyptic number.

36126420106623 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

36126420106623 is a deficient number, since it is larger than the sum of its proper divisors (26192130421377).

36126420106623 is a wasteful number, since it uses less digits than its factorization.

36126420106623 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54096057 (or 54096043 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 42.

Adding to 36126420106623 its reverse (32660102462163), we get a palindrome (68786522568786).

The spelling of 36126420106623 in words is "thirty-six trillion, one hundred twenty-six billion, four hundred twenty million, one hundred six thousand, six hundred twenty-three".

Divisors: 1 3 7 11 21 33 49 59 77 147 177 231 343 413 539 649 1029 1239 1617 1947 2891 3773 4543 8673 11319 13629 20237 31801 60711 95403 222607 667821 54095963 162287889 378671741 595055593 1136015223 1785166779 2650702187 3191661817 4165389151 7952106561 9574985451 12496167453 18554915309 22341632719 29157724057 35108279987 55664745927 67024898157 87473172171 105324839961 156391429033 204104068399 245757959909 469174287099 612312205197 737273879727 1094740003231 1720305719363 3284220009693 5160917158089 12042140035541 36126420106623