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201001201896672 = 253573943349579
BaseRepresentation
bin101101101100111100111101…
…001111010000110011100000
3222100200112020100122011100000
4231230330331033100303200
5202321200430141143142
61551254402152500000
760223600106111502
oct5554747517206340
9870615210564300
10201001201896672
115905514941aa81
121a6634679aa600
138820441564288
14378c71d931d72
1518387810b814c
hexb6cf3d3d0ce0

201001201896672 has 144 divisors (see below), whose sum is σ = 592777145600640. Its totient is φ = 66999302865792.

The previous prime is 201001201896653. The next prime is 201001201896743. The reversal of 201001201896672 is 276698102100102.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×2010012018966722 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 574805979 + ... + 575155557.

It is an arithmetic number, because the mean of its divisors is an integer number (4116507955560).

Almost surely, 2201001201896672 is an apocalyptic number.

It is an amenable number.

201001201896672 is an abundant number, since it is smaller than the sum of its proper divisors (391775943703968).

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

201001201896672 is an equidigital number, since it uses as much as digits as its factorization.

201001201896672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423547 (or 423527 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

Adding to 201001201896672 its reverse (276698102100102), we get a palindrome (477699303996774).

The spelling of 201001201896672 in words is "two hundred one trillion, one billion, two hundred one million, eight hundred ninety-six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 864 972 1296 1944 2592 3888 7776 73943 147886 221829 295772 349579 443658 591544 665487 699158 887316 1048737 1183088 1330974 1398316 1774632 1996461 2097474 2366176 2661948 2796632 3146211 3549264 3992922 4194948 5323896 5593264 5989383 6292422 7098528 7985844 8389896 9438633 10647792 11186528 11978766 12584844 15971688 16779792 17968149 18877266 21295584 23957532 25169688 28315899 31943376 33559584 35936298 37754532 47915064 50339376 56631798 63886752 71872596 75509064 84947697 95830128 100678752 113263596 143745192 151018128 169895394 191660256 226527192 287490384 302036256 339790788 453054384 574980768 679581576 906108768 1359163152 2718326304 25848919997 51697839994 77546759991 103395679988 155093519982 206791359976 232640279973 310187039964 413582719952 465280559946 620374079928 697920839919 827165439904 930561119892 1240748159856 1395841679838 1861122239784 2093762519757 2481496319712 2791683359676 3722244479568 4187525039514 5583366719352 6281287559271 7444488959136 8375050079028 11166733438704 12562575118542 16750100158056 22333466877408 25125150237084 33500200316112 50250300474168 67000400632224 100500600948336 201001201896672