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55054001430 = 23453116313451
BaseRepresentation
bin110011010001011110…
…010110010100010110
312021002210211001020000
4303101132112110112
51400222311021210
641142542152130
73656201201541
oct632136262426
9167083731200
1055054001430
112139160413a
12a805582646
135264b5810c
142943a4b858
151673416ac0
hexcd1796516

55054001430 has 160 divisors (see below), whose sum is σ = 153758297088. Its totient is φ = 14119272000.

The previous prime is 55054001413. The next prime is 55054001459. The reversal of 55054001430 is 3410045055.

55054001430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 55054001394 and 55054001403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4086205 + ... + 4099655.

Almost surely, 255054001430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55054001430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76879148544).

55054001430 is an abundant number, since it is smaller than the sum of its proper divisors (98704295658).

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

55054001430 is a wasteful number, since it uses less digits than its factorization.

55054001430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13664 (or 13655 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

Adding to 55054001430 its reverse (3410045055), we get a palindrome (58464046485).

The spelling of 55054001430 in words is "fifty-five billion, fifty-four million, one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 31 45 54 62 81 90 93 135 155 162 163 186 270 279 310 326 405 465 489 558 810 815 837 930 978 1395 1467 1630 1674 2445 2511 2790 2934 4185 4401 4890 5022 5053 7335 8370 8802 10106 12555 13203 13451 14670 15159 22005 25110 25265 26406 26902 30318 40353 44010 45477 50530 66015 67255 75795 80706 90954 121059 132030 134510 136431 151590 201765 227385 242118 272862 363177 403530 409293 416981 454770 605295 682155 726354 818586 833962 1089531 1210590 1250943 1364310 1815885 2046465 2084905 2179062 2192513 2501886 3631770 3752829 4092930 4169810 4385026 5447655 6254715 6577539 7505658 10895310 10962565 11258487 12509430 13155078 18764145 19732617 21925130 22516974 32887695 33775461 37528290 39465234 56292435 59197851 65775390 67550922 67967903 98663085 112584870 118395702 135935806 168877305 177593553 197326170 203903709 295989255 337754610 339839515 355187106 407807418 591978510 611711127 679679030 887967765 1019518545 1223422254 1775935530 1835133381 2039037090 3058555635 3670266762 5505400143 6117111270 9175666905 11010800286 18351333810 27527000715 55054001430