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10352328704 = 2181723101
BaseRepresentation
bin10011010010000110…
…00000000000000000
3222201110201210020122
421221003000000000
5132200144004304
64431130155412
7514353225224
oct115103000000
928643653218
1010352328704
11443268a863
12200ab82b68
13c8c9aa5b3
14702c78784
15408ca69be
hex2690c0000

10352328704 has 152 divisors (see below), whose sum is σ = 23102182368. Its totient is φ = 4613734400.

The previous prime is 10352328641. The next prime is 10352328709. The reversal of 10352328704 is 40782325301.

It is not an unprimeable number, because it can be changed into a prime (10352328709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 102498254 + ... + 102498354.

Almost surely, 210352328704 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 10352328704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11551091184).

10352328704 is an abundant number, since it is smaller than the sum of its proper divisors (12749853664).

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

10352328704 is an frugal number, since it uses more digits than its factorization.

10352328704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The spelling of 10352328704 in words is "ten billion, three hundred fifty-two million, three hundred twenty-eight thousand, seven hundred four".

Divisors: 1 2 4 8 16 17 23 32 34 46 64 68 92 101 128 136 184 202 256 272 368 391 404 512 544 736 782 808 1024 1088 1472 1564 1616 1717 2048 2176 2323 2944 3128 3232 3434 4096 4352 4646 5888 6256 6464 6868 8192 8704 9292 11776 12512 12928 13736 16384 17408 18584 23552 25024 25856 27472 32768 34816 37168 39491 47104 50048 51712 54944 65536 69632 74336 78982 94208 100096 103424 109888 131072 139264 148672 157964 188416 200192 206848 219776 262144 278528 297344 315928 376832 400384 413696 439552 557056 594688 631856 753664 800768 827392 879104 1114112 1189376 1263712 1507328 1601536 1654784 1758208 2228224 2378752 2527424 3014656 3203072 3309568 3516416 4456448 4757504 5054848 6029312 6406144 6619136 7032832 9515008 10109696 12812288 13238272 14065664 19030016 20219392 25624576 26476544 28131328 38060032 40438784 51249152 56262656 76120064 80877568 102498304 112525312 152240128 161755136 225050624 304480256 323510272 450101248 608960512 647020544 1294041088 2588082176 5176164352 10352328704