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1116253861416 = 233317599507497
BaseRepresentation
bin10000001111100101111…
…010100011011000101000
310221201020122120110221000
4100033211322203120220
5121242041442031131
62212444442115000
7143434545161421
oct20174572433050
93851218513830
101116253861416
113a0445227711
121604071aba60
1381354326655
143c05403c648
151e0828dece6
hex103e5ea3628

1116253861416 has 128 divisors (see below), whose sum is σ = 3288587040000. Its totient is φ = 349611964416.

The previous prime is 1116253861357. The next prime is 1116253861439. The reversal of 1116253861416 is 6141683526111.

1116253861416 is a `hidden beast` number, since 1 + 1 + 1 + 6 + 25 + 3 + 8 + 614 + 1 + 6 = 666.

It is a super-2 number, since 2×11162538614162 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1945780 + ... + 2453276.

It is an arithmetic number, because the mean of its divisors is an integer number (25692086250).

Almost surely, 21116253861416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1116253861416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1644293520000).

1116253861416 is an abundant number, since it is smaller than the sum of its proper divisors (2172333178584).

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

1116253861416 is a wasteful number, since it uses less digits than its factorization.

1116253861416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508128 (or 508118 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The spelling of 1116253861416 in words is "one trillion, one hundred sixteen billion, two hundred fifty-three million, eight hundred sixty-one thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 108 136 153 204 216 306 408 459 599 612 918 1198 1224 1797 1836 2396 3594 3672 4792 5391 7188 10183 10782 14376 16173 20366 21564 30549 32346 40732 43128 61098 64692 81464 91647 122196 129384 183294 244392 274941 366588 507497 549882 733176 1014994 1099764 1522491 2029988 2199528 3044982 4059976 4567473 6089964 8627449 9134946 12179928 13702419 17254898 18269892 25882347 27404838 34509796 36539784 51764694 54809676 69019592 77647041 103529388 109619352 155294082 207058776 232941123 303990703 310588164 465882246 607981406 621176328 911972109 931764492 1215962812 1823944218 1863528984 2431925624 2735916327 3647888436 5167841951 5471832654 7295776872 8207748981 10335683902 10943665308 15503525853 16415497962 20671367804 21887330616 31007051706 32830995924 41342735608 46510577559 62014103412 65661991848 93021155118 124028206824 139531732677 186042310236 279063465354 372084620472 558126930708 1116253861416