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20416548357772 = 22741613173316741
BaseRepresentation
bin1001010010001100110010…
…00111001100011010001100
32200021210200100200112220021
410221012121013030122030
510134001042334422042
6111231122143031524
74205022046444630
oct451063107143214
980253610615807
1020416548357772
116561678320576
122358a4489b5a4
13b51370192148
14508248134dc0
15256134491867
hex1291991cc68c

20416548357772 has 96 divisors (see below), whose sum is σ = 41923942752384. Its totient is φ = 8517183436800.

The previous prime is 20416548357763. The next prime is 20416548357823. The reversal of 20416548357772 is 27775384561402.

It is a super-2 number, since 2×204165483577722 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20416548357772.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1219545322 + ... + 1219562062.

It is an arithmetic number, because the mean of its divisors is an integer number (436707737004).

Almost surely, 220416548357772 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 20416548357772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20961971376192).

20416548357772 is an abundant number, since it is smaller than the sum of its proper divisors (21507394394612).

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

20416548357772 is a wasteful number, since it uses less digits than its factorization.

20416548357772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19139 (or 19137 counting only the distinct ones).

The product of its (nonzero) digits is 79027200, while the sum is 61.

The spelling of 20416548357772 in words is "twenty trillion, four hundred sixteen billion, five hundred forty-eight million, three hundred fifty-seven thousand, seven hundred seventy-two".

Divisors: 1 2 4 7 14 28 41 82 164 287 574 613 1148 1226 1733 2452 3466 4291 6932 8582 12131 16741 17164 24262 25133 33482 48524 50266 66964 71053 100532 117187 142106 175931 234374 284212 351862 468748 497371 686381 703724 994742 1062329 1372762 1989484 2124658 2745524 4249316 4804667 7436303 9609334 10262233 14872606 19218668 20524466 29012153 29745212 41048932 43555489 58024306 71835631 87110978 116048612 143671262 174221956 203085071 287342524 304888423 406170142 420751553 609776846 812340284 841503106 1189498273 1219553692 1683006212 2378996546 2945260871 4757993092 5890521742 8326487911 11781043484 16652975822 17784449789 33305951644 35568899578 71137799156 124491148523 248982297046 497964594092 729162441349 1458324882698 2916649765396 5104137089443 10208274178886 20416548357772