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99417941760 = 283577333493
BaseRepresentation
bin101110010010111000…
…1010110011100000000
3100111121121101201110010
41130211301112130000
53112101443114020
6113401051304520
710116445363464
oct1344561263400
9314547351403
1099417941760
1139187922135
1217326a4b140
1394b5056497
144b51a284a4
1528bd0b2de0
hex1725c56700

99417941760 has 144 divisors (see below), whose sum is σ = 317936301984. Its totient is φ = 26476363776.

The previous prime is 99417941743. The next prime is 99417941767. The reversal of 99417941760 is 6714971499.

It is a self number, because there is not a number n which added to its sum of digits gives 99417941760.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99417941767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2951574 + ... + 2985066.

It is an arithmetic number, because the mean of its divisors is an integer number (2207890986).

Almost surely, 299417941760 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 99417941760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158968150992).

99417941760 is an abundant number, since it is smaller than the sum of its proper divisors (218518360224).

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

99417941760 is a wasteful number, since it uses less digits than its factorization.

99417941760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34290 (or 34276 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 57.

The spelling of 99417941760 in words is "ninety-nine billion, four hundred seventeen million, nine hundred forty-one thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 773 960 1280 1546 1920 2319 3092 3840 3865 4638 6184 7730 9276 11595 12368 15460 18552 23190 24736 30920 33493 37104 46380 49472 61840 66986 74208 92760 98944 100479 123680 133972 148416 167465 185520 197888 200958 247360 267944 296832 334930 371040 401916 494720 502395 535888 593664 669860 742080 803832 989440 1004790 1071776 1339720 1484160 1607664 2009580 2143552 2679440 2968320 3215328 4019160 4287104 5358880 6430656 8038320 8574208 10717760 12861312 16076640 21435520 25722624 25890089 32153280 42871040 51780178 64306560 77670267 103560356 128613120 129450445 155340534 207120712 258900890 310681068 388351335 414241424 517801780 621362136 776702670 828482848 1035603560 1242724272 1553405340 1656965696 2071207120 2485448544 3106810680 3313931392 4142414240 4970897088 6213621360 6627862784 8284828480 9941794176 12427242720 16569656960 19883588352 24854485440 33139313920 49708970880 99417941760