Search a number
-
+
96638818440 = 23353140276451
BaseRepresentation
bin101101000000000011…
…1110101100010001000
3100020102220222121221210
41122000013311202020
53040404014142230
6112221213133120
76660541255233
oct1320007654210
9306386877853
1096638818440
1137a911036aa
121689018a1a0
139161358708
14496a8ba41a
1527a90edeb0
hex16801f5888

96638818440 has 128 divisors (see below), whose sum is σ = 299389317120. Its totient is φ = 24928992000.

The previous prime is 96638818439. The next prime is 96638818447. The reversal of 96638818440 is 4481883669.

It is a super-2 number, since 2×966388184402 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (96638818447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14977215 + ... + 14983665.

It is an arithmetic number, because the mean of its divisors is an integer number (2338979040).

Almost surely, 296638818440 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 96638818440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149694658560).

96638818440 is an abundant number, since it is smaller than the sum of its proper divisors (202750498680).

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

96638818440 is a wasteful number, since it uses less digits than its factorization.

96638818440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10523 (or 10519 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 57.

The spelling of 96638818440 in words is "ninety-six billion, six hundred thirty-eight million, eight hundred eighteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 744 930 1240 1860 3720 4027 6451 8054 12081 12902 16108 19353 20135 24162 25804 32216 32255 38706 40270 48324 51608 60405 64510 77412 80540 96648 96765 120810 124837 129020 154824 161080 193530 199981 241620 249674 258040 374511 387060 399962 483240 499348 599943 624185 749022 774120 799924 998696 999905 1199886 1248370 1498044 1599848 1872555 1999810 2399772 2496740 2996088 2999715 3745110 3999620 4799544 4993480 5999430 7490220 7999240 11998860 14980440 23997720 25978177 51956354 77934531 103912708 129890885 155869062 207825416 259781770 311738124 389672655 519563540 623476248 779345310 805323487 1039127080 1558690620 1610646974 2415970461 3117381240 3221293948 4026617435 4831940922 6442587896 8053234870 9663881844 12079852305 16106469740 19327763688 24159704610 32212939480 48319409220 96638818440