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16616237440 = 275117093329
BaseRepresentation
bin11110111100110011…
…11010100110000000
31120220000101022122111
433132121322212000
5233012224044230
611344451345104
71125523454635
oct173631724600
946800338574
1016616237440
117057484140
1232788b2194
13174a64877a
14b38b4418c
15673b6e92a
hex3de67a980

16616237440 has 128 divisors (see below), whose sum is σ = 43408548000. Its totient is φ = 6031933440.

The previous prime is 16616237431. The next prime is 16616237453. The reversal of 16616237440 is 4473261661.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 16616237393 and 16616237402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4989696 + ... + 4993024.

Almost surely, 216616237440 is an apocalyptic number.

16616237440 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 16616237440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21704274000).

16616237440 is an abundant number, since it is smaller than the sum of its proper divisors (26792310560).

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

16616237440 is a wasteful number, since it uses less digits than its factorization.

16616237440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4068 (or 4056 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 40.

The spelling of 16616237440 in words is "sixteen billion, six hundred sixteen million, two hundred thirty-seven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 320 352 440 640 704 709 880 1408 1418 1760 2836 3329 3520 3545 5672 6658 7040 7090 7799 11344 13316 14180 15598 16645 22688 26632 28360 31196 33290 36619 38995 45376 53264 56720 62392 66580 73238 77990 90752 106528 113440 124784 133160 146476 155980 183095 213056 226880 249568 266320 292952 311960 366190 426112 453760 499136 532640 585904 623920 732380 998272 1065280 1171808 1247840 1464760 2130560 2343616 2360261 2495680 2929520 4687232 4720522 4991360 5859040 9441044 11718080 11801305 18882088 23436160 23602610 25962871 37764176 47205220 51925742 75528352 94410440 103851484 129814355 151056704 188820880 207702968 259628710 302113408 377641760 415405936 519257420 755283520 830811872 1038514840 1510567040 1661623744 2077029680 3323247488 4154059360 8308118720 16616237440