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99388424952 = 233731318149
BaseRepresentation
bin101110010010000000…
…0110000001011111000
3100111112112212010000000
41130210000300023320
53112021414044302
6113354114513000
710115636446605
oct1344400601370
9314475763000
1099388424952
11391721a1783
1217318b95760
1394abbc040b
144b4bb436ac
1528ba6d231c
hex17240302f8

99388424952 has 128 divisors (see below), whose sum is σ = 280395720000. Its totient is φ = 33021810432.

The previous prime is 99388424951. The next prime is 99388424959. The reversal of 99388424952 is 25942488399.

99388424952 is a `hidden beast` number, since 9 + 9 + 388 + 4 + 249 + 5 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 99388424952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99388424951) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5467174 + ... + 5485322.

Almost surely, 299388424952 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 99388424952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140197860000).

99388424952 is an abundant number, since it is smaller than the sum of its proper divisors (181007295048).

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

99388424952 is a wasteful number, since it uses less digits than its factorization.

99388424952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18489 (or 18467 counting only the distinct ones).

The product of its digits is 44789760, while the sum is 63.

The spelling of 99388424952 in words is "ninety-nine billion, three hundred eighty-eight million, four hundred twenty-four thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 313 324 486 626 648 729 939 972 1252 1458 1878 1944 2187 2504 2817 2916 3756 4374 5634 5832 7512 8451 8748 11268 16902 17496 18149 22536 25353 33804 36298 50706 54447 67608 72596 76059 101412 108894 145192 152118 163341 202824 217788 228177 304236 326682 435576 456354 490023 608472 653364 684531 912708 980046 1306728 1369062 1470069 1825416 1960092 2738124 2940138 3920184 4410207 5476248 5680637 5880276 8820414 11361274 11760552 13230621 17041911 17640828 22722548 26461242 34083822 35281656 39691863 45445096 51125733 52922484 68167644 79383726 102251466 105844968 136335288 153377199 158767452 204502932 306754398 317534904 409005864 460131597 613508796 920263194 1227017592 1380394791 1840526388 2760789582 3681052776 4141184373 5521579164 8282368746 11043158328 12423553119 16564737492 24847106238 33129474984 49694212476 99388424952