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136993030704 = 243589395897
BaseRepresentation
bin111111110010101101…
…0111100001000110000
3111002121021120000100000
41333211122330020300
54221030203440304
6142533404030000
712616546355655
oct1774532741060
9432537500300
10136993030704
1153109aa3652
1222672832300
13cbc290a51a
1468b812dc2c
15386bc52939
hex1fe56bc230

136993030704 has 120 divisors (see below), whose sum is σ = 402058172880. Its totient is φ = 45151147008.

The previous prime is 136993030703. The next prime is 136993030711. The reversal of 136993030704 is 407030399631.

It is a happy number.

It is a super-2 number, since 2×1369930307042 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 136993030704.

It is not an unprimeable number, because it can be changed into a prime (136993030703) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148084 + ... + 543980.

It is an arithmetic number, because the mean of its divisors is an integer number (3350484774).

Almost surely, 2136993030704 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 136993030704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201029086440).

136993030704 is an abundant number, since it is smaller than the sum of its proper divisors (265065142176).

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

136993030704 is an equidigital number, since it uses as much as digits as its factorization.

136993030704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396009 (or 395991 counting only the distinct ones).

The product of its (nonzero) digits is 367416, while the sum is 45.

It can be divided in two parts, 13699 and 3030704, that added together give a palindrome (3044403).

The spelling of 136993030704 in words is "one hundred thirty-six billion, nine hundred ninety-three million, thirty thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 89 108 144 162 178 216 243 267 324 356 432 486 534 648 712 801 972 1068 1296 1424 1602 1944 2136 2403 3204 3888 4272 4806 6408 7209 9612 12816 14418 19224 21627 28836 38448 43254 57672 86508 115344 173016 346032 395897 791794 1187691 1583588 2375382 3167176 3563073 4750764 6334352 7126146 9501528 10689219 14252292 19003056 21378438 28504584 32067657 35234833 42756876 57009168 64135314 70469666 85513752 96202971 105704499 128270628 140939332 171027504 192405942 211408998 256541256 281878664 317113497 384811884 422817996 513082512 563757328 634226994 769623768 845635992 951340491 1268453988 1539247536 1691271984 1902680982 2536907976 2854021473 3805361964 5073815952 5708042946 7610723928 8562064419 11416085892 15221447856 17124128838 22832171784 34248257676 45664343568 68496515352 136993030704