Search a number
-
+
4755301452054 = 235311492118331
BaseRepresentation
bin100010100110010111000…
…0011011100100100010110
3121211121021010121221100000
41011030232003130210112
51110402324132431204
614040315541232130
71000362542264616
oct105145603344426
917747233557300
104755301452054
11157379177674a
12649738a02646
1328656644c96a
1412622d0a6a46
1583a6a058039
hex4532e0dc916

4755301452054 has 96 divisors (see below), whose sum is σ = 11103449011200. Its totient is φ = 1523672402400.

The previous prime is 4755301452017. The next prime is 4755301452061. The reversal of 4755301452054 is 4502541035574.

4755301452054 is a `hidden beast` number, since 4 + 7 + 5 + 530 + 1 + 45 + 20 + 54 = 666.

It is a super-2 number, since 2×47553014520542 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

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, 1185669 + ... + 3303999.

It is an arithmetic number, because the mean of its divisors is an integer number (115660927200).

Almost surely, 24755301452054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4755301452054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5551724505600).

4755301452054 is an abundant number, since it is smaller than the sum of its proper divisors (6348147559146).

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

4755301452054 is a wasteful number, since it uses less digits than its factorization.

4755301452054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2118528 (or 2118516 counting only the distinct ones).

The product of its (nonzero) digits is 1680000, while the sum is 45.

The spelling of 4755301452054 in words is "four trillion, seven hundred fifty-five billion, three hundred one million, four hundred fifty-two thousand, fifty-four".

Divisors: 1 2 3 6 9 18 27 31 54 62 81 93 149 162 186 243 279 298 447 486 558 837 894 1341 1674 2511 2682 4023 4619 5022 7533 8046 9238 12069 13857 15066 24138 27714 36207 41571 72414 83142 124713 249426 374139 748278 1122417 2118331 2244834 4236662 6354993 12709986 19064979 38129958 57194937 65668261 114389874 131336522 171584811 197004783 315631319 343169622 394009566 514754433 591014349 631262638 946893957 1029508866 1182028698 1773043047 1893787914 2840681871 3546086094 5319129141 5681363742 8522045613 9784570889 10638258282 15957387423 17044091226 19569141778 25566136839 29353712667 31914774846 51132273678 58707425334 76698410517 88061138001 153396821034 176122276002 264183414003 528366828006 792550242009 1585100484018 2377650726027 4755301452054