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2101950316544 = 215134934341
BaseRepresentation
bin11110100101100110000…
…000001000000000000000
321102221111112100112112212
4132211212000020000000
5233414243240112134
64245342254041252
7304601200616441
oct36454600100000
97387445315485
102101950316544
11740483179641
1229b456aa9228
131232a0143b70
1473a409552c8
1539a23563bce
hex1e966008000

2101950316544 has 64 divisors (see below), whose sum is σ = 4527209441580. Its totient is φ = 970130718720.

The previous prime is 2101950316523. The next prime is 2101950316559. The reversal of 2101950316544 is 4456130591012.

It can be written as a sum of positive squares in 2 ways, for example, as 2016854425600 + 85095890944 = 1420160^2 + 291712^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2041187 + ... + 2893154.

Almost surely, 22101950316544 is an apocalyptic number.

It is an amenable number.

2101950316544 is an abundant number, since it is smaller than the sum of its proper divisors (2425259125036).

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

2101950316544 is an frugal number, since it uses more digits than its factorization.

2101950316544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4934384 (or 4934356 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 41.

The spelling of 2101950316544 in words is "two trillion, one hundred one billion, nine hundred fifty million, three hundred sixteen thousand, five hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 512 832 1024 1664 2048 3328 4096 6656 8192 13312 16384 26624 32768 53248 106496 212992 425984 4934341 9868682 19737364 39474728 64146433 78949456 128292866 157898912 256585732 315797824 513171464 631595648 1026342928 1263191296 2052685856 2526382592 4105371712 5052765184 8210743424 10105530368 16421486848 20211060736 32842973696 40422121472 65685947392 80844242944 131371894784 161688485888 262743789568 525487579136 1050975158272 2101950316544