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428070379008 = 2932978712211
BaseRepresentation
bin1100011101010101111…
…10111001111000000000
31111220220221221100222210
412032222332321320000
524003142004112013
6524353001502120
742632661120456
oct6165276717000
91456827840883
10428070379008
111555a8629638
126ab67aa1940
133149cccb26c
1416a0c2329d6
15b205e12cc3
hex63aafb9e00

428070379008 has 160 divisors (see below), whose sum is σ = 1181326354560. Its totient is φ = 137583452160.

The previous prime is 428070379001. The next prime is 428070379049. The reversal of 428070379008 is 800973070824.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428070379001) 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, 35050023 + ... + 35062233.

It is an arithmetic number, because the mean of its divisors is an integer number (7383289716).

Almost surely, 2428070379008 is an apocalyptic number.

428070379008 is a gapful number since it is divisible by the number (48) 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 428070379008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590663177280).

428070379008 is an abundant number, since it is smaller than the sum of its proper divisors (753255975552).

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

428070379008 is a wasteful number, since it uses less digits than its factorization.

428070379008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13048 (or 13032 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The spelling of 428070379008 in words is "four hundred twenty-eight billion, seventy million, three hundred seventy-nine thousand, eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 256 348 384 464 512 696 768 787 928 1392 1536 1574 1856 2361 2784 3148 3712 4722 5568 6296 7424 9444 11136 12211 12592 14848 18888 22272 22823 24422 25184 36633 37776 44544 45646 48844 50368 68469 73266 75552 91292 97688 100736 136938 146532 151104 182584 195376 201472 273876 293064 302208 354119 365168 390752 402944 547752 586128 604416 708238 730336 781504 1062357 1095504 1172256 1208832 1416476 1460672 1563008 2124714 2191008 2344512 2832952 2921344 3126016 4249428 4382016 4689024 5665904 5842688 6252032 8498856 8764032 9378048 9610057 11331808 11685376 16997712 17528064 18756096 19220114 22663616 28830171 33995424 35056128 38440228 45327232 57660342 67990848 76880456 90654464 115320684 135981696 153760912 181308928 230641368 271963392 278691653 307521824 461282736 543926784 557383306 615043648 836074959 922565472 1114766612 1230087296 1672149918 1845130944 2229533224 2460174592 3344299836 3690261888 4459066448 4920349184 6688599672 7380523776 8918132896 13377199344 14761047552 17836265792 26754398688 35672531584 53508797376 71345063168 107017594752 142690126336 214035189504 428070379008