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9907240464 = 24331115113807
BaseRepresentation
bin10010011101000010…
…00111111000010000
3221120110012221222000
421032201013320100
5130242223143324
64315030314000
7500340103662
oct111641077020
927513187860
109907240464
114224419440
121b05ab8900
13c1b710484
1469dad8532
153ceb889c9
hex24e847e10

9907240464 has 160 divisors (see below), whose sum is σ = 31230382080. Its totient is φ = 2982096000.

The previous prime is 9907240459. The next prime is 9907240481. The reversal of 9907240464 is 4640427099.

It is a super-2 number, since 2×99072404642 (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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, 710649 + ... + 724455.

It is an arithmetic number, because the mean of its divisors is an integer number (195189888).

Almost surely, 29907240464 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 9907240464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15615191040).

9907240464 is an abundant number, since it is smaller than the sum of its proper divisors (21323141616).

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

9907240464 is a wasteful number, since it uses less digits than its factorization.

9907240464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13986 (or 13974 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 9907240464 is about 99535.1217611151. The cubic root of 9907240464 is about 2147.7525072985.

The spelling of 9907240464 in words is "nine billion, nine hundred seven million, two hundred forty thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 151 176 198 216 264 297 302 396 432 453 528 594 604 792 906 1188 1208 1359 1584 1661 1812 2376 2416 2718 3322 3624 4077 4752 4983 5436 6644 7248 8154 9966 10872 13288 13807 14949 16308 19932 21744 26576 27614 29898 32616 39864 41421 44847 55228 59796 65232 79728 82842 89694 110456 119592 124263 151877 165684 179388 220912 239184 248526 303754 331368 358776 372789 455631 497052 607508 662736 717552 745578 911262 994104 1215016 1366893 1491156 1822524 1988208 2084857 2430032 2733786 2982312 3645048 4100679 4169714 5467572 5964624 6254571 7290096 8201358 8339428 10935144 12509142 16402716 16678856 18763713 21870288 22933427 25018284 32805432 33357712 37527426 45866854 50036568 56291139 65610864 68800281 75054852 91733708 100073136 112582278 137600562 150109704 183467416 206400843 225164556 275201124 300219408 366934832 412801686 450329112 550402248 619202529 825603372 900658224 1100804496 1238405058 1651206744 2476810116 3302413488 4953620232 9907240464