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2034630554320 = 245713279482219
BaseRepresentation
bin11101100110111001011…
…011100111001011010000
321012111201220100021201001
4131212321123213023100
5231313410410214240
64154410225551344
7266666020234210
oct35467133471320
97174656307631
102034630554320
117149779a5911
1228a3a97a5554
13119b32083b30
1470695caa240
1537dd33d289a
hex1d9b96e72d0

2034630554320 has 80 divisors (see below), whose sum is σ = 5822173607040. Its totient is φ = 643927030272.

The previous prime is 2034630554279. The next prime is 2034630554329. The reversal of 2034630554320 is 234550364302.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2034630554320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2034630554329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139733830 + ... + 139748389.

It is an arithmetic number, because the mean of its divisors is an integer number (72777170088).

Almost surely, 22034630554320 is an apocalyptic number.

2034630554320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2034630554320 is an abundant number, since it is smaller than the sum of its proper divisors (3787543052720).

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

2034630554320 is a wasteful number, since it uses less digits than its factorization.

2034630554320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279482252 (or 279482246 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 37.

It can be divided in two parts, 2034630 and 554320, that added together give a triangular number (2588950 = T2275).

The spelling of 2034630554320 in words is "two trillion, thirty-four billion, six hundred thirty million, five hundred fifty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 104 112 130 140 182 208 260 280 364 455 520 560 728 910 1040 1456 1820 3640 7280 279482219 558964438 1117928876 1397411095 1956375533 2235857752 2794822190 3633268847 3912751066 4471715504 5589644380 7266537694 7825502132 9781877665 11179288760 14533075388 15651004264 18166344235 19563755330 22358577520 25432881929 29066150776 31302008528 36332688470 39127510660 50865763858 58132301552 72665376940 78255021320 101731527716 127164409645 145330753880 156510042640 203463055432 254328819290 290661507760 406926110864 508657638580 1017315277160 2034630554320