Search a number
-
+
55341030948 = 223729118719139
BaseRepresentation
bin110011100010100101…
…010001111000100100
312021211210220122200220
4303202211101320210
51401314300442243
641231234204340
73666255000360
oct634245217044
9167753818626
1055341030948
1121519629715
12a8857236b0
1352ac464278
14296dc062a0
15168d712783
hexce2951e24

55341030948 has 96 divisors (see below), whose sum is σ = 152801510400. Its totient is φ = 15252832896.

The previous prime is 55341030931. The next prime is 55341030959. The reversal of 55341030948 is 84903014355.

It is a super-3 number, since 3×553410309483 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 2881963 + ... + 2901101.

It is an arithmetic number, because the mean of its divisors is an integer number (1591682400).

Almost surely, 255341030948 is an apocalyptic number.

55341030948 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55341030948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76400755200).

55341030948 is an abundant number, since it is smaller than the sum of its proper divisors (97460479452).

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

55341030948 is a wasteful number, since it uses less digits than its factorization.

55341030948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20369 (or 20367 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The spelling of 55341030948 in words is "fifty-five billion, three hundred forty-one million, thirty thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 58 84 87 116 174 203 348 406 609 812 1187 1218 2374 2436 3561 4748 7122 8309 14244 16618 19139 24927 33236 34423 38278 49854 57417 68846 76556 99708 103269 114834 133973 137692 206538 229668 240961 267946 401919 413076 481922 535892 555031 722883 803838 963844 1110062 1445766 1607676 1665093 2220124 2891532 3330186 3885217 6660372 7770434 11655651 15540868 22717993 23311302 45435986 46622604 68153979 90871972 136307958 159025951 272615916 318051902 477077853 636103804 658821797 954155706 1317643594 1908311412 1976465391 2635287188 3952930782 4611752579 7905861564 9223505158 13835257737 18447010316 27670515474 55341030948