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3428175858432 = 283131013399673
BaseRepresentation
bin110001111000101111001…
…101000100101100000000
3110010201201110200120000020
4301320233031010230000
5422131401004432212
611142514322053440
7502451252001003
oct61705715045400
913121643616006
103428175858432
111101976999596
124744a11aa280
131bb37763ca10
14bbcd314553a
155e294a3ed8c
hex31e2f344b00

3428175858432 has 144 divisors (see below), whose sum is σ = 9923077260768. Its totient is φ = 1044379238400.

The previous prime is 3428175858427. The next prime is 3428175858433. The reversal of 3428175858432 is 2348585718243.

It is not an unprimeable number, because it can be changed into a prime (3428175858433) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 691453 + ... + 2708220.

Almost surely, 23428175858432 is an apocalyptic number.

3428175858432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3428175858432 is an abundant number, since it is smaller than the sum of its proper divisors (6494901402336).

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

3428175858432 is a wasteful number, since it uses less digits than its factorization.

3428175858432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3399806 (or 3399792 counting only the distinct ones).

The product of its digits is 51609600, while the sum is 60.

The spelling of 3428175858432 in words is "three trillion, four hundred twenty-eight billion, one hundred seventy-five million, eight hundred fifty-eight thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 101 104 128 156 192 202 208 256 303 312 384 404 416 606 624 768 808 832 1212 1248 1313 1616 1664 2424 2496 2626 3232 3328 3939 4848 4992 5252 6464 7878 9696 9984 10504 12928 15756 19392 21008 25856 31512 38784 42016 63024 77568 84032 126048 168064 252096 336128 504192 1008384 3399673 6799346 10199019 13598692 20398038 27197384 40796076 44195749 54394768 81592152 88391498 108789536 132587247 163184304 176782996 217579072 265174494 326368608 343366973 353565992 435158144 530348988 652737216 686733946 707131984 870316288 1030100919 1060697976 1305474432 1373467892 1414263968 2060201838 2121395952 2610948864 2746935784 2828527936 4120403676 4242791904 4463770649 5493871568 5657055872 8240807352 8485583808 8927541298 10987743136 11314111744 13391311947 16481614704 16971167616 17855082596 21975486272 26782623894 32963229408 33942335232 35710165192 43950972544 53565247788 65926458816 71420330384 87901945088 107130495576 131852917632 142840660768 214260991152 263705835264 285681321536 428521982304 571362643072 857043964608 1142725286144 1714087929216 3428175858432