Search a number
-
+
56111601409192 = 23737101574946639
BaseRepresentation
bin11001100001000100000000…
…00100011101110010101000
321100200012211222102210211201
430300202000010131302220
524323313024430043232
6315201151441533544
714550633535312240
oct1460420004356250
9240605758383751
1056111601409192
111697388419501a
1263629799442b4
1325403bbc89c74
14dbdb5d15ab20
156748d15bbbe7
hex33088011dca8

56111601409192 has 128 divisors (see below), whose sum is σ = 124735881600000. Its totient is φ = 23161699353600.

The previous prime is 56111601409183. The next prime is 56111601409223. The reversal of 56111601409192 is 29190410611165.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1203081409 + ... + 1203128047.

It is an arithmetic number, because the mean of its divisors is an integer number (974499075000).

Almost surely, 256111601409192 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 56111601409192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62367940800000).

56111601409192 is an abundant number, since it is smaller than the sum of its proper divisors (68624280190808).

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

56111601409192 is a wasteful number, since it uses less digits than its factorization.

56111601409192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52539 (or 52535 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 46.

The spelling of 56111601409192 in words is "fifty-six trillion, one hundred eleven billion, six hundred one million, four hundred nine thousand, one hundred ninety-two".

Divisors: 1 2 4 7 8 14 28 37 56 74 101 148 202 259 296 404 518 707 808 1036 1414 2072 2828 3737 5656 5749 7474 11498 14948 22996 26159 29896 40243 45992 46639 52318 80486 93278 104636 160972 186556 209272 212713 321944 326473 373112 425426 580649 652946 850852 1161298 1305892 1488991 1701704 1725643 2322596 2611784 2977982 3451286 4064543 4645192 4710539 5955964 6902572 8129086 9421078 11911928 12079501 13805144 16258172 18842156 21484013 24159002 32516344 32973773 37684312 42968026 48318004 65947546 85936052 96636008 131895092 150388091 171872104 174289943 263790184 268127611 300776182 348579886 536255222 601552364 697159772 1072510444 1203104728 1220029601 1394319544 1876893277 2145020888 2440059202 3753786554 4880118404 7507573108 9760236808 9920721607 15015146216 19841443214 27080888711 39682886428 54161777422 69445051249 79365772856 108323554844 138890102498 189566220977 216647109688 277780204996 379132441954 555560409992 758264883908 1001992882307 1516529767816 2003985764614 4007971529228 7013950176149 8015943058456 14027900352298 28055800704596 56111601409192