Search a number
-
+
54862557387702 = 232310115748751481
BaseRepresentation
bin11000111100101101011110…
…01111101001101110110110
321012020210211221202021012220
430132112233033221232312
524142332004142401302
6312403302205423210
714361455213306631
oct1436265717515666
9235223757667186
1054862557387702
1116532097421769
1261a089356ab06
13247c6949c85cc
14d7950d270c18
1565217ae244bc
hex31e5af3e9bb6

54862557387702 has 128 divisors (see below), whose sum is σ = 116607095728128. Its totient is φ = 17173233792000.

The previous prime is 54862557387653. The next prime is 54862557387709. The reversal of 54862557387702 is 20778375526845.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54862557387709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1065659802 + ... + 1065711282.

It is an arithmetic number, because the mean of its divisors is an integer number (910992935376).

Almost surely, 254862557387702 is an apocalyptic number.

54862557387702 is an abundant number, since it is smaller than the sum of its proper divisors (61744538340426).

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

54862557387702 is a wasteful number, since it uses less digits than its factorization.

54862557387702 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52254.

The product of its (nonzero) digits is 790272000, while the sum is 69.

The spelling of 54862557387702 in words is "fifty-four trillion, eight hundred sixty-two billion, five hundred fifty-seven million, three hundred eighty-seven thousand, seven hundred two".

Divisors: 1 2 3 6 23 46 69 101 138 157 202 303 314 471 487 606 942 974 1461 2323 2922 3611 4646 6969 7222 10833 11201 13938 15857 21666 22402 31714 33603 47571 49187 51481 67206 76459 95142 98374 102962 147561 152918 154443 229377 295122 308886 364711 458754 729422 1094133 1131301 1184063 1758557 2188266 2262602 2368126 3393903 3517114 3552189 5199581 5275671 6787806 7104378 7722359 8082517 10399162 10551342 15444718 15598743 16165034 23167077 24247551 25071247 31197486 46334154 48495102 50142494 75213741 119590363 150427482 177614257 185897891 239180726 355228514 358771089 371795782 532842771 557693673 576638681 717542178 816334217 1065685542 1115387346 1153277362 1632668434 1729916043 2449002651 2532195947 3459832086 3936185779 4898005302 5064391894 7596587841 7872371558 11808557337 15193175682 18775686991 23617114674 37551373982 56327060973 58240506781 90532272917 112654121946 116481013562 174721520343 181064545834 271596818751 349443040686 397554763679 543193637502 795109527358 1192664291037 2385328582074 9143759564617 18287519129234 27431278693851 54862557387702