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55386657396 = 223279712971747
BaseRepresentation
bin110011100101010011…
…010101001001110100
312021221222202201102100
4303211103111021310
51401412441014041
641235544142100
74000350551160
oct634523251164
9167858681370
1055386657396
1121542362524
12a898a67930
1352b8a4aa75
142975cc1ca0
1516927266b6
hexce54d5274

55386657396 has 144 divisors (see below), whose sum is σ = 161872686976. Its totient is φ = 15640584192.

The previous prime is 55386657383. The next prime is 55386657409. The reversal of 55386657396 is 69375668355.

55386657396 is a `hidden beast` number, since 5 + 53 + 8 + 6 + 6 + 573 + 9 + 6 = 666.

55386657396 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (55386657383) and next prime (55386657409).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31702995 + ... + 31704741.

Almost surely, 255386657396 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 55386657396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80936343488).

55386657396 is an abundant number, since it is smaller than the sum of its proper divisors (106486029580).

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

55386657396 is a wasteful number, since it uses less digits than its factorization.

55386657396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3158 (or 3153 counting only the distinct ones).

The product of its digits is 122472000, while the sum is 63.

The spelling of 55386657396 in words is "fifty-five billion, three hundred eighty-six million, six hundred fifty-seven thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 97 126 194 252 291 388 582 679 873 1164 1297 1358 1746 1747 2037 2594 2716 3492 3494 3891 4074 5188 5241 6111 6988 7782 8148 9079 10482 11673 12222 12229 15564 15723 18158 20964 23346 24444 24458 27237 31446 36316 36687 46692 48916 54474 62892 73374 81711 108948 110061 125809 146748 163422 169459 220122 251618 326844 338918 377427 440244 503236 508377 677836 754854 880663 1016754 1132281 1186213 1509708 1525131 1761326 2033508 2264562 2265859 2372426 2641989 3050262 3522652 3558639 4529124 4531718 4744852 5283978 6100524 6797577 7117278 7925967 9063436 10567956 10675917 13595154 14234556 15851934 15861013 20392731 21351834 27190308 31703868 31722026 40785462 42703668 47583039 63444052 81570924 95166078 142749117 190332156 219788323 285498234 439576646 570996468 659364969 879153292 1318729938 1538518261 1978094907 2637459876 3077036522 3956189814 4615554783 6154073044 7912379628 9231109566 13846664349 18462219132 27693328698 55386657396