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55155004452 = 223231374013331
BaseRepresentation
bin110011010111011111…
…101001010000100100
312021100211212112022200
4303113133221100210
51400424140120302
641200551054500
73661535542152
oct632737512044
9167324775280
1055155004452
1121433620209
12a833371430
13527ca60312
1429532203d2
15167c21881c
hexcd77e9424

55155004452 has 144 divisors (see below), whose sum is σ = 148219728384. Its totient is φ = 17262720000.

The previous prime is 55155004447. The next prime is 55155004501. The reversal of 55155004452 is 25440055155.

55155004452 is a `hidden beast` number, since 5 + 51 + 550 + 0 + 4 + 4 + 52 = 666.

It is a super-2 number, since 2×551550044522 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16556427 + ... + 16559757.

Almost surely, 255155004452 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 55155004452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74109864192).

55155004452 is an abundant number, since it is smaller than the sum of its proper divisors (93064723932).

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

55155004452 is a wasteful number, since it uses less digits than its factorization.

55155004452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3810 (or 3805 counting only the distinct ones).

The product of its (nonzero) digits is 100000, while the sum is 36.

The spelling of 55155004452 in words is "fifty-five billion, one hundred fifty-five million, four thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 31 36 37 62 74 93 111 124 148 186 222 279 333 372 401 444 558 666 802 1116 1147 1203 1332 1604 2294 2406 3331 3441 3609 4588 4812 6662 6882 7218 9993 10323 12431 13324 13764 14436 14837 19986 20646 24862 29674 29979 37293 39972 41292 44511 49724 59348 59958 74586 89022 103261 111879 119916 123247 133533 149172 178044 206522 223758 246494 267066 309783 369741 413044 447516 459947 492988 534132 619566 739482 919894 929349 1109223 1239132 1335731 1379841 1478964 1839788 1858698 2218446 2671462 2759682 3717396 3820657 4007193 4139523 4436892 5342924 5519364 7641314 8014386 8279046 11461971 12021579 15282628 16028772 16558092 22923942 24043158 34385913 41407661 45847884 48086316 49422047 68771826 82815322 98844094 124222983 137543652 148266141 165630644 197688188 248445966 296532282 372668949 444798423 496891932 593064564 745337898 889596846 1490675796 1532083457 1779193692 3064166914 4596250371 6128333828 9192500742 13788751113 18385001484 27577502226 55155004452