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641672295552 = 273478672
BaseRepresentation
bin10010101011001101010…
…01100011010010000000
32021100021020122000020000
421111212221203102000
541003121101424202
61210440304120000
764234144343031
oct11254651432200
92240236560200
10641672295552
1122814a311a82
12a443a906000
1348681309162
14230b29a4a88
1511a5858491c
hex9566a63480

641672295552 has 120 divisors (see below), whose sum is σ = 1909849121235. Its totient is φ = 213863576832.

The previous prime is 641672295493. The next prime is 641672295569. The reversal of 641672295552 is 255592276146.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

641672295552 is a `hidden beast` number, since 6 + 4 + 1 + 67 + 2 + 29 + 5 + 552 = 666.

It can be written as a sum of positive squares in only one way, i.e., 320836147776 + 320836147776 = 566424^2 + 566424^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=566424.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 81561123 + ... + 81568989.

Almost surely, 2641672295552 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 641672295552

641672295552 is an abundant number, since it is smaller than the sum of its proper divisors (1268176825683).

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

641672295552 is an frugal number, since it uses more digits than its factorization.

641672295552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15760 (or 7872 counting only the distinct ones).

The product of its digits is 9072000, while the sum is 54.

The spelling of 641672295552 in words is "six hundred forty-one billion, six hundred seventy-two million, two hundred ninety-five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 576 648 864 1152 1296 1728 2592 3456 5184 7867 10368 15734 23601 31468 47202 62936 70803 94404 125872 141606 188808 212409 251744 283212 377616 424818 503488 566424 637227 755232 849636 1006976 1132848 1274454 1510464 1699272 2265696 2548908 3020928 3398544 4531392 5097816 6797088 9062784 10195632 13594176 20391264 27188352 40782528 61889689 81565056 123779378 185669067 247558756 371338134 495117512 557007201 742676268 990235024 1114014402 1485352536 1671021603 1980470048 2228028804 2970705072 3342043206 3960940096 4456057608 5013064809 5941410144 6684086412 7921880192 8912115216 10026129618 11882820288 13368172824 17824230432 20052259236 23765640576 26736345648 35648460864 40104518472 53472691296 71296921728 80209036944 106945382592 160418073888 213890765184 320836147776 641672295552