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3973898376320 = 27516342199029
BaseRepresentation
bin111001110100111110110…
…011010001010010000000
3112001220022210212211112012
4321310332303101102000
51010102020441020240
612241330025352052
7560050622603645
oct71647663212200
915056283784465
103973898376320
1112a2359041454
12542202638628
1322a9772934b2
14da4a2953dcc
156d584730b65
hex39d3ecd1480

3973898376320 has 128 divisors (see below), whose sum is σ = 9561708072000. Its totient is φ = 1579258073088.

The previous prime is 3973898376319. The next prime is 3973898376341. The reversal of 3973898376320 is 236738983793.

It is a happy number.

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

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, 440121566 + ... + 440130594.

Almost surely, 23973898376320 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 3973898376320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4780854036000).

3973898376320 is an abundant number, since it is smaller than the sum of its proper divisors (5587809695680).

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

3973898376320 is a wasteful number, since it uses less digits than its factorization.

3973898376320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13430 (or 13418 counting only the distinct ones).

The product of its (nonzero) digits is 246903552, while the sum is 68.

The spelling of 3973898376320 in words is "three trillion, nine hundred seventy-three billion, eight hundred ninety-eight million, three hundred seventy-six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 163 320 326 640 652 815 1304 1630 2608 3260 4219 5216 6520 8438 9029 10432 13040 16876 18058 20864 21095 26080 33752 36116 42190 45145 52160 67504 72232 84380 90290 104320 135008 144464 168760 180580 270016 288928 337520 361160 540032 577856 675040 687697 722320 1155712 1350080 1375394 1444640 1471727 2700160 2750788 2889280 2943454 3438485 5501576 5778560 5886908 6876970 7358635 11003152 11773816 13753940 14717270 22006304 23547632 27507880 29434540 38093351 44012608 47095264 55015760 58869080 76186702 88025216 94190528 110031520 117738160 152373404 188381056 190466755 220063040 235476320 304746808 380933510 440126080 470952640 609493616 761867020 941905280 1218987232 1523734040 2437974464 3047468080 4875948928 6094936160 6209216213 12189872320 12418432426 24379744640 24836864852 31046081065 49673729704 62092162130 99347459408 124184324260 198694918816 248368648520 397389837632 496737297040 794779675264 993474594080 1986949188160 3973898376320