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2152641480540 = 2235432381350423
BaseRepresentation
bin11111010100110011011…
…011100100011101011100
321121210100021201110221020
4133110303123210131130
5240232102204334130
64324524305404140
7311344314452535
oct37246333443534
97553307643836
102152641480540
1175aa25aa6401
122a9243339650
13127cbb14b165
147628cd9d68c
153aedd932e10
hex1f5336e475c

2152641480540 has 96 divisors (see below), whose sum is σ = 6170176083456. Its totient is φ = 560450929920.

The previous prime is 2152641480533. The next prime is 2152641480571. The reversal of 2152641480540 is 450841462512.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2152641480492 and 2152641480501.

It is a congruent number.

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, 5967769 + ... + 6318191.

It is an arithmetic number, because the mean of its divisors is an integer number (64272667536).

Almost surely, 22152641480540 is an apocalyptic number.

2152641480540 is a gapful number since it is divisible by the number (20) 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 2152641480540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3085088041728).

2152641480540 is an abundant number, since it is smaller than the sum of its proper divisors (4017534602916).

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

2152641480540 is a wasteful number, since it uses less digits than its factorization.

2152641480540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352859 (or 352857 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 42.

The spelling of 2152641480540 in words is "two trillion, one hundred fifty-two billion, six hundred forty-one million, four hundred eighty thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 129 172 215 258 430 516 645 860 1290 2381 2580 4762 7143 9524 11905 14286 23810 28572 35715 47620 71430 102383 142860 204766 307149 350423 409532 511915 614298 700846 1023830 1051269 1228596 1401692 1535745 1752115 2047660 2102538 3071490 3504230 4205076 5256345 6142980 7008460 10512690 15068189 21025380 30136378 45204567 60272756 75340945 90409134 150681890 180818268 226022835 301363780 452045670 834357163 904091340 1668714326 2503071489 3337428652 4171785815 5006142978 8343571630 10012285956 12515357445 16687143260 25030714890 35877358009 50061429780 71754716018 107632074027 143509432036 179386790045 215264148054 358773580090 430528296108 538160370135 717547160180 1076320740270 2152641480540