Search a number
-
+
55117624980 = 223511372257069
BaseRepresentation
bin110011010101010001…
…000011011010010100
312021021020112110022210
4303111101003122110
51400340102444410
641153133553420
73660603040125
oct632521033224
9167236473283
1055117624980
112141450a490
12a822945870
1352750a34a2
14294c29004c
151678cd3220
hexcd5443694

55117624980 has 96 divisors (see below), whose sum is σ = 172909618560. Its totient is φ = 13000711680.

The previous prime is 55117624979. The next prime is 55117624987. The reversal of 55117624980 is 8942671155.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55117624987) 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, 1104115 + ... + 1152954.

It is an arithmetic number, because the mean of its divisors is an integer number (1801141860).

Almost surely, 255117624980 is an apocalyptic number.

It is an amenable number.

55117624980 is an abundant number, since it is smaller than the sum of its proper divisors (117791993580).

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

55117624980 is a wasteful number, since it uses less digits than its factorization.

55117624980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2257129 (or 2257127 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 48.

The spelling of 55117624980 in words is "fifty-five billion, one hundred seventeen million, six hundred twenty-four thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 37 44 55 60 66 74 110 111 132 148 165 185 220 222 330 370 407 444 555 660 740 814 1110 1221 1628 2035 2220 2442 4070 4884 6105 8140 12210 24420 2257069 4514138 6771207 9028276 11285345 13542414 22570690 24827759 27084828 33856035 45141380 49655518 67712070 74483277 83511553 99311036 124138795 135424140 148966554 167023106 248277590 250534659 297933108 334046212 372416385 417557765 496555180 501069318 744832770 835115530 918627083 1002138636 1252673295 1489665540 1670231060 1837254166 2505346590 2755881249 3674508332 4593135415 5010693180 5511762498 9186270830 11023524996 13779406245 18372541660 27558812490 55117624980