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72003924913040 = 2451795804386629
BaseRepresentation
bin10000010111110010111000…
…010111011110101110010000
3100102221111201022212212021022
4100113302320113132232100
533414203014234204130
6413050051345015012
721111053245243211
oct2027627027365620
9312844638785238
1072003924913040
1120a4076952519a
1280aaa14924468
133123c3045c713
1413ad0196c1408
1584cec23657e5
hex417cb85deb90

72003924913040 has 80 divisors (see below), whose sum is σ = 168349215585600. Its totient is φ = 28639843293696.

The previous prime is 72003924913033. The next prime is 72003924913099. The reversal of 72003924913040 is 4031942930027.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 72003924912982 and 72003924913000.

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, 831132446 + ... + 831219074.

It is an arithmetic number, because the mean of its divisors is an integer number (2104365194820).

Almost surely, 272003924913040 is an apocalyptic number.

It is an amenable number.

72003924913040 is an abundant number, since it is smaller than the sum of its proper divisors (96345290672560).

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

72003924913040 is a wasteful number, since it uses less digits than its factorization.

72003924913040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144864 (or 144858 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 44.

The spelling of 72003924913040 in words is "seventy-two trillion, three billion, nine hundred twenty-four million, nine hundred thirteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 179 358 716 895 1432 1790 2864 3580 7160 14320 58043 86629 116086 173258 232172 290215 346516 433145 464344 580430 693032 866290 928688 1160860 1386064 1732580 2321720 3465160 4643440 6930320 10389697 15506591 20779394 31013182 41558788 51948485 62026364 77532955 83117576 103896970 124052728 155065910 166235152 207793940 248105456 310131820 415587880 620263640 831175760 1240527280 5028207047 10056414094 20112828188 25141035235 40225656376 50282070470 80451312752 100564140940 201128281880 402256563760 900049061413 1800098122826 3600196245652 4500245307065 7200392491304 9000490614130 14400784982608 18000981228260 36001962456520 72003924913040