Search a number
-
+
54416359102512 = 243113727110278377
BaseRepresentation
bin11000101111101110010111…
…10000010001100000110000
321010200011010121221211220110
430113313023300101200300
524113024200412240022
6311422310311541320
714314311051413541
oct1427671360214060
9233604117854813
1054416359102512
111637a937099990
12612a30868a840
132449596135354
14d61aa16384c8
156457637e000c
hex317dcbc11830

54416359102512 has 160 divisors (see below), whose sum is σ = 158081124731904. Its totient is φ = 15984930355200.

The previous prime is 54416359102507. The next prime is 54416359102541. The reversal of 54416359102512 is 21520195361445.

It is a super-2 number, since 2×544163591025122 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 155068 + ... + 10433444.

Almost surely, 254416359102512 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 54416359102512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79040562365952).

54416359102512 is an abundant number, since it is smaller than the sum of its proper divisors (103664765629392).

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

54416359102512 is a wasteful number, since it uses less digits than its factorization.

54416359102512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10278707 (or 10278701 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 48.

The spelling of 54416359102512 in words is "fifty-four trillion, four hundred sixteen billion, three hundred fifty-nine million, one hundred two thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 37 44 48 66 74 88 111 132 148 176 222 264 271 296 407 444 528 542 592 813 814 888 1084 1221 1626 1628 1776 2168 2442 2981 3252 3256 4336 4884 5962 6504 6512 8943 9768 10027 11924 13008 17886 19536 20054 23848 30081 35772 40108 47696 60162 71544 80216 110297 120324 143088 160432 220594 240648 330891 441188 481296 661782 882376 1323564 1764752 2647128 5294256 10278377 20556754 30835131 41113508 61670262 82227016 113062147 123340524 164454032 226124294 246681048 339186441 380299949 452248588 493362096 678372882 760599898 904497176 1140899847 1356745764 1521199796 1808994352 2281799694 2713491528 2785440167 3042399592 4183299439 4563599388 5426983056 5570880334 6084799184 8356320501 8366598878 9127198776 11141760668 12549898317 16712641002 16733197756 18254397552 22283521336 25099796634 30639841837 33425282004 33466395512 44567042672 50199593268 61279683674 66850564008 66932791024 91919525511 100399186536 103061286179 122559367348 133701128016 183839051022 200798373072 206122572358 245118734696 309183858537 367678102044 412245144716 490237469392 618367717074 735356204088 824490289432 1133674147969 1236735434148 1470712408176 1648980578864 2267348295938 2473470868296 3401022443907 4534696591876 4946941736592 6802044887814 9069393183752 13604089775628 18138786367504 27208179551256 54416359102512