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1828930081480 = 2351711376131277
BaseRepresentation
bin11010100111010100101…
…110100101001011001000
320110211210021121120112221
4122213110232211023020
5214431122100101410
63520110542543424
7246064410121645
oct32472456451310
96424707546487
101828930081480
11645710395037
12256560b97b74
1310360ca5c708
1464740aa8dcc
153289478e4da
hex1a9d4ba52c8

1828930081480 has 128 divisors (see below), whose sum is σ = 4401632832480. Its totient is φ = 681526558720.

The previous prime is 1828930081427. The next prime is 1828930081493. The reversal of 1828930081480 is 841800398281.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 60684380964 + 1768245700516 = 246342^2 + 1329754^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58459602 + ... + 58490878.

Almost surely, 21828930081480 is an apocalyptic number.

1828930081480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1828930081480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2200816416240).

1828930081480 is an abundant number, since it is smaller than the sum of its proper divisors (2572702751000).

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

1828930081480 is a wasteful number, since it uses less digits than its factorization.

1828930081480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32179 (or 32175 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 52.

The spelling of 1828930081480 in words is "one trillion, eight hundred twenty-eight billion, nine hundred thirty million, eighty-one thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 113 136 170 226 340 452 565 680 761 904 1130 1522 1921 2260 3044 3805 3842 4520 6088 7610 7684 9605 12937 15220 15368 19210 25874 30440 31277 38420 51748 62554 64685 76840 85993 103496 125108 129370 156385 171986 250216 258740 312770 343972 429965 517480 531709 625540 687944 859930 1063418 1251080 1461881 1719860 2126836 2658545 2923762 3439720 3534301 4253672 5317090 5847524 7068602 7309405 10634180 11695048 14137204 14618810 17671505 21268360 23801797 28274408 29237620 35343010 47603594 58475240 60083117 70686020 95207188 119008985 120166234 141372040 190414376 238017970 240332468 300415585 404630549 476035940 480664936 600831170 809261098 952071880 1201662340 1618522196 2023152745 2403324680 2689603061 3237044392 4046305490 5379206122 8092610980 10758412244 13448015305 16185221960 21516824488 26896030610 45723252037 53792061220 91446504074 107584122440 182893008148 228616260185 365786016296 457232520370 914465040740 1828930081480