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10424623000 = 2353115317881
BaseRepresentation
bin10011011010101101…
…10001111110011000
3222220111202201101011
421231112301332120
5132322200414000
64442231503304
7516221555611
oct115526617630
928814681334
1010424623000
11446a478610
12202b227b34
13ca197049c
1470c6d6c08
154102d72ba
hex26d5b1f98

10424623000 has 128 divisors (see below), whose sum is σ = 27114834240. Its totient is φ = 3719040000.

The previous prime is 10424622937. The next prime is 10424623003. The reversal of 10424623000 is 32642401.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10424623003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 574060 + ... + 591940.

Almost surely, 210424623000 is an apocalyptic number.

10424623000 is a gapful number since it is divisible by the number (10) 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 10424623000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13557417120).

10424623000 is an abundant number, since it is smaller than the sum of its proper divisors (16690211240).

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

10424623000 is a wasteful number, since it uses less digits than its factorization.

10424623000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17966 (or 17952 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The spelling of 10424623000 in words is "ten billion, four hundred twenty-four million, six hundred twenty-three thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 53 55 88 100 106 110 125 200 212 220 250 265 275 424 440 500 530 550 583 1000 1060 1100 1166 1325 1375 2120 2200 2332 2650 2750 2915 4664 5300 5500 5830 6625 10600 11000 11660 13250 14575 17881 23320 26500 29150 35762 53000 58300 71524 72875 89405 116600 143048 145750 178810 196691 291500 357620 393382 447025 583000 715240 786764 894050 947693 983455 1573528 1788100 1895386 1966910 2235125 3576200 3790772 3933820 4470250 4738465 4917275 7581544 7867640 8940500 9476930 9834550 10424623 17881000 18953860 19669100 20849246 23692325 24586375 37907720 39338200 41698492 47384650 49172750 52123115 83396984 94769300 98345500 104246230 118461625 189538600 196691000 208492460 236923250 260615575 416984920 473846500 521231150 947693000 1042462300 1303077875 2084924600 2606155750 5212311500 10424623000