Search a number
-
+
61647504020440 = 235131915234096931
BaseRepresentation
bin11100000010001011011011…
…00101000001001111011000
322002021102222112212021021221
432001011231211001033120
531040013042012123230
6335040250011141424
715661612422153052
oct1601055545011730
9262242875767257
1061647504020440
1118708617966218
126ab7848444874
1328524473c1a60
141131a8006c8d2
1571d8d684727a
hex38116d9413d8

61647504020440 has 128 divisors (see below), whose sum is σ = 157341854073600. Its totient is φ = 21549982901760.

The previous prime is 61647504020413. The next prime is 61647504020449. The reversal of 61647504020440 is 4402040574616.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61647504020449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12998775 + ... + 17095705.

It is an arithmetic number, because the mean of its divisors is an integer number (1229233234950).

Almost surely, 261647504020440 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 61647504020440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78670927036800).

61647504020440 is an abundant number, since it is smaller than the sum of its proper divisors (95694350053160).

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

61647504020440 is a wasteful number, since it uses less digits than its factorization.

61647504020440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4098497 (or 4098493 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 43.

The spelling of 61647504020440 in words is "sixty-one trillion, six hundred forty-seven billion, five hundred four million, twenty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 19 20 26 38 40 52 65 76 95 104 130 152 190 247 260 380 494 520 760 988 1235 1523 1976 2470 3046 4940 6092 7615 9880 12184 15230 19799 28937 30460 39598 57874 60920 79196 98995 115748 144685 158392 197990 231496 289370 376181 395980 578740 752362 791960 1157480 1504724 1880905 3009448 3761810 4096931 7523620 8193862 15047240 16387724 20484655 32775448 40969310 53260103 77841689 81938620 106520206 155683378 163877240 213040412 266300515 311366756 389208445 426080824 532601030 622733512 778416890 1011941957 1065202060 1556833780 2023883914 2130404120 3113667560 4047767828 5059709785 6239625913 8095535656 10119419570 12479251826 20238839140 24958503652 31198129565 40477678280 49917007304 62396259130 81115136869 118552892347 124792518260 162230273738 237105784694 249585036520 324460547476 405575684345 474211569388 592764461735 648921094952 811151368690 948423138776 1185528923470 1541187600511 1622302737380 2371057846940 3082375201022 3244605474760 4742115693880 6164750402044 7705938002555 12329500804088 15411876005110 30823752010220 61647504020440