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3257645634816 = 283113359104561
BaseRepresentation
bin101111011001111010110…
…011111001010100000000
3102112102112220222121211020
4233121322303321110000
5411333124240303231
610532313003345440
7454233332006256
oct57317263712400
912472486877736
103257645634816
111046618041591
1244742ab22280
131a826b8aab61
14b3956cca5d6
1559b138ab396
hex2f67acf9500

3257645634816 has 144 divisors (see below), whose sum is σ = 8771262837120. Its totient is φ = 1073264066560.

The previous prime is 3257645634799. The next prime is 3257645634851. The reversal of 3257645634816 is 6184365467523.

It is a happy number.

It is a super-2 number, since 2×32576456348162 (a number of 26 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 3257645634816.

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, 31103176 + ... + 31207736.

It is an arithmetic number, because the mean of its divisors is an integer number (60911547480).

Almost surely, 23257645634816 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 3257645634816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4385631418560).

3257645634816 is an abundant number, since it is smaller than the sum of its proper divisors (5513617202304).

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

3257645634816 is a wasteful number, since it uses less digits than its factorization.

3257645634816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105052 (or 105038 counting only the distinct ones).

The product of its digits is 87091200, while the sum is 60.

The spelling of 3257645634816 in words is "three trillion, two hundred fifty-seven billion, six hundred forty-five million, six hundred thirty-four thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 113 128 192 226 256 339 359 384 452 678 718 768 904 1077 1356 1436 1808 2154 2712 2872 3616 4308 5424 5744 7232 8616 10848 11488 14464 17232 21696 22976 28928 34464 40567 43392 45952 68928 81134 86784 91904 104561 121701 137856 162268 209122 243402 275712 313683 324536 418244 486804 627366 649072 836488 973608 1254732 1298144 1672976 1947216 2509464 2596288 3345952 3894432 5018928 5192576 6691904 7788864 10037856 10385152 11815393 13383808 15577728 20075712 23630786 26767616 31155456 35446179 37537399 40151424 47261572 70892358 75074798 80302848 94523144 112612197 141784716 150149596 189046288 225224394 283569432 300299192 378092576 450448788 567138864 600598384 756185152 900897576 1134277728 1201196768 1512370304 1801795152 2268555456 2402393536 3024740608 3603590304 4241726087 4537110912 4804787072 7207180608 8483452174 9074221824 9609574144 12725178261 14414361216 16966904348 25450356522 28828722432 33933808696 50900713044 67867617392 101801426088 135735234784 203602852176 271470469568 407205704352 542940939136 814411408704 1085881878272 1628822817408 3257645634816