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16245481083100 = 225217371009255971
BaseRepresentation
bin1110110001100111001000…
…1000010001000011011100
32010112001102111201220020021
43230121302020101003130
54112131221124124400
654315023155401524
73264461110546423
oct354316210210334
963461374656207
1016245481083100
1151a3740609555
1219a45968b32a4
1390ac332a9279
144023dd4dc2ba
151d28b011b71a
hexec6722110dc

16245481083100 has 144 divisors (see below), whose sum is σ = 38373346136160. Its totient is φ = 5944729190400.

The previous prime is 16245481083043. The next prime is 16245481083107. The reversal of 16245481083100 is 138018454261.

It is a super-2 number, since 2×162454810831002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16245481083107) by changing a digit.

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, 63338115 + ... + 63594085.

It is an arithmetic number, because the mean of its divisors is an integer number (266481570390).

Almost surely, 216245481083100 is an apocalyptic number.

16245481083100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16245481083100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19186673068080).

16245481083100 is an abundant number, since it is smaller than the sum of its proper divisors (22127865053060).

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

16245481083100 is a wasteful number, since it uses less digits than its factorization.

16245481083100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257048 (or 257041 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 43.

The spelling of 16245481083100 in words is "sixteen trillion, two hundred forty-five billion, four hundred eighty-one million, eighty-three thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 37 50 68 74 85 100 148 170 185 340 370 425 629 740 850 925 1009 1258 1700 1850 2018 2516 3145 3700 4036 5045 6290 10090 12580 15725 17153 20180 25225 31450 34306 37333 50450 62900 68612 74666 85765 100900 149332 171530 186665 255971 343060 373330 428825 511942 634661 746660 857650 933325 1023884 1269322 1279855 1715300 1866650 2538644 2559710 3173305 3733300 4351507 5119420 6346610 6399275 8703014 9470927 12693220 12798550 15866525 17406028 18941854 21757535 25597100 31733050 37883708 43515070 47354635 63466100 87030140 94709270 108787675 161005759 189418540 217575350 236773175 258274739 322011518 435150700 473546350 516549478 644023036 805028795 947092700 1033098956 1291373695 1610057590 2582747390 3220115180 4025143975 4390670563 5165494780 6456868475 8050287950 8781341126 9556165343 12913736950 16100575900 17562682252 19112330686 21953352815 25827473900 38224661372 43906705630 47780826715 87813411260 95561653430 109766764075 162454810831 191123306860 219533528150 238904133575 324909621662 439067056300 477808267150 649819243324 812274054155 955616534300 1624548108310 3249096216620 4061370270775 8122740541550 16245481083100