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390088939008 = 29373247657
BaseRepresentation
bin1011010110100110001…
…11001101011000000000
31101021212222011022020210
411223103013031120000
522342400232022013
6455112051434120
740116524162316
oct5532307153000
91337788138223
10390088939008
111404880445aa
1263727bb5940
132aa291c0c02
1414c47b920b6
15a231757cc3
hex5ad31cd600

390088939008 has 120 divisors (see below), whose sum is σ = 1053674344008. Its totient is φ = 128245727232.

The previous prime is 390088939001. The next prime is 390088939021. The reversal of 390088939008 is 800939880093.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390088939001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8161516 + ... + 8209172.

Almost surely, 2390088939008 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 390088939008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526837172004).

390088939008 is an abundant number, since it is smaller than the sum of its proper divisors (663585405000).

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

390088939008 is an frugal number, since it uses more digits than its factorization.

390088939008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47824 (or 47735 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 57.

The spelling of 390088939008 in words is "three hundred ninety billion, eighty-eight million, nine hundred thirty-nine thousand, eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 73 96 128 146 192 219 256 292 384 438 512 584 768 876 1168 1536 1752 2336 3504 4672 5329 7008 9344 10658 14016 15987 18688 21316 28032 31974 37376 42632 47657 56064 63948 85264 95314 112128 127896 142971 170528 190628 255792 285942 341056 381256 511584 571884 682112 762512 1023168 1143768 1364224 1525024 2046336 2287536 2728448 3050048 3478961 4092672 4575072 6100096 6957922 8185344 9150144 10436883 12200192 13915844 18300288 20873766 24400384 27831688 36600576 41747532 55663376 73201152 83495064 111326752 166990128 222653504 253964153 333980256 445307008 507928306 667960512 761892459 890614016 1015856612 1335921024 1523784918 1781228032 2031713224 2671842048 3047569836 4063426448 5343684096 6095139672 8126852896 12190279344 16253705792 24380558688 32507411584 48761117376 65014823168 97522234752 130029646336 195044469504 390088939008