Search a number
-
+
10454355032 = 2311377997419
BaseRepresentation
bin10011011110010000…
…01100110001011000
3222222120201021001112
421233020030301120
5132402303330112
64445213035452
7520032360122
oct115710146130
928876637045
1010454355032
114485235740
122039185b88
13ca7b804c4
14712636212
15412c0ba22
hex26f20cc58

10454355032 has 128 divisors (see below), whose sum is σ = 22522752000. Its totient is φ = 4507176960.

The previous prime is 10454355019. The next prime is 10454355049. The reversal of 10454355032 is 23055345401.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 10454355032.

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, 24950519 + ... + 24950937.

It is an arithmetic number, because the mean of its divisors is an integer number (175959000).

Almost surely, 210454355032 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 10454355032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11261376000).

10454355032 is an abundant number, since it is smaller than the sum of its proper divisors (12068396968).

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

10454355032 is a wasteful number, since it uses less digits than its factorization.

10454355032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 32.

The spelling of 10454355032 in words is "ten billion, four hundred fifty-four million, three hundred fifty-five thousand, thirty-two".

Divisors: 1 2 4 8 11 22 37 44 74 79 88 97 148 158 194 296 316 388 407 419 632 776 814 838 869 1067 1628 1676 1738 2134 2923 3256 3352 3476 3589 4268 4609 5846 6952 7178 7663 8536 9218 11692 14356 15326 15503 18436 23384 28712 30652 31006 32153 33101 36872 39479 40643 61304 62012 64306 66202 78958 81286 84293 124024 128612 132404 157916 162572 168586 170533 257224 264808 283531 315832 325144 337172 341066 364111 447073 567062 674344 682132 728222 894146 1134124 1224737 1364264 1456444 1503791 1788292 2268248 2449474 2912888 3007582 3118841 3210797 3576584 4898948 6015164 6237682 6421594 9797896 12030328 12475364 12843188 13472107 16541701 24950728 25686376 26944214 33083402 35318767 53888428 66166804 70637534 107776856 118799489 132333608 141275068 237598978 282550136 475197956 950395912 1306794379 2613588758 5227177516 10454355032