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2484023163756 = 2232931273101749
BaseRepresentation
bin100100001001011011010…
…100010111101101101100
322210110200211211012002220
4210021123110113231230
5311144234412220011
65141051113115340
7344315260341051
oct44113324275554
98713624735086
102484023163756
11878517354792
123415063b8b50
1315031c679394
1488327c51028
1544936193506
hex2425b517b6c

2484023163756 has 144 divisors (see below), whose sum is σ = 6280506540000. Its totient is φ = 763061160960.

The previous prime is 2484023163707. The next prime is 2484023163763. The reversal of 2484023163756 is 6573613204842.

2484023163756 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2484023163699 and 2484023163708.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24362370 + ... + 24464118.

It is an arithmetic number, because the mean of its divisors is an integer number (43614628750).

Almost surely, 22484023163756 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 2484023163756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3140253270000).

2484023163756 is an abundant number, since it is smaller than the sum of its proper divisors (3796483376244).

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

2484023163756 is a wasteful number, since it uses less digits than its factorization.

2484023163756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101920 (or 101887 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 51.

The spelling of 2484023163756 in words is "two trillion, four hundred eighty-four billion, twenty-three million, one hundred sixty-three thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 12 29 31 58 62 73 87 93 116 124 146 174 186 219 292 348 372 438 876 899 961 1798 1922 2117 2263 2697 2883 3596 3844 4234 4526 5394 5766 6351 6789 8468 9052 10788 11532 12702 13578 25404 27156 27869 55738 65627 70153 83607 101749 111476 131254 140306 167214 196881 203498 210459 262508 280612 305247 334428 393762 406996 420918 610494 787524 841836 1220988 2034437 2950721 3154219 4068874 5901442 6103311 6308438 7427677 8137748 8852163 9462657 11802884 12206622 12616876 14855354 17704326 18925314 22283031 24413244 29710708 35408652 37850628 44566062 89132124 91472351 97780789 182944702 195561578 215402633 230257987 274417053 293342367 365889404 391123156 430805266 460515974 548834106 586684734 646207899 690773961 861610532 921031948 1097668212 1173369468 1292415798 1381547922 2584831596 2763095844 2835642881 5671285762 6677481623 7137997597 8506928643 11342571524 13354963246 14275995194 17013857286 20032444869 21413992791 26709926492 28551990388 34027714572 40064889738 42827985582 80129779476 85655971164 207001930313 414003860626 621005790939 828007721252 1242011581878 2484023163756