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470249596040 = 23574874996911
BaseRepresentation
bin1101101011111010000…
…11110110010010001000
31122221210111120121021012
412311331003312102020
530201032344033130
61000010224503052
745655136420630
oct6657503662210
91587714517235
10470249596040
11171482701694
127717977aa88
13354626b6553
1418a8ddcb6c0
15c373dad995
hex6d7d0f6488

470249596040 has 128 divisors (see below), whose sum is σ = 1214300160000. Its totient is φ = 160551694080.

The previous prime is 470249595901. The next prime is 470249596051. The reversal of 470249596040 is 40695942074.

It is a super-2 number, since 2×4702495960402 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 470249596040.

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, 68040185 + ... + 68047095.

It is an arithmetic number, because the mean of its divisors is an integer number (9486720000).

Almost surely, 2470249596040 is an apocalyptic number.

470249596040 is a gapful number since it is divisible by the number (40) 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 470249596040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607150080000).

470249596040 is an abundant number, since it is smaller than the sum of its proper divisors (744050563960).

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

470249596040 is a wasteful number, since it uses less digits than its factorization.

470249596040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7915 (or 7911 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 50.

The spelling of 470249596040 in words is "four hundred seventy billion, two hundred forty-nine million, five hundred ninety-six thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 487 499 974 998 1948 1996 2435 2495 3409 3493 3896 3992 4870 4990 6818 6911 6986 9740 9980 13636 13822 13972 17045 17465 19480 19960 27272 27644 27944 34090 34555 34930 48377 55288 68180 69110 69860 96754 136360 138220 139720 193508 241885 243013 276440 387016 483770 486026 967540 972052 1215065 1701091 1935080 1944104 2430130 3365657 3402182 3448589 4860260 6731314 6804364 6897178 8505455 9720520 13462628 13608728 13794356 16828285 17010910 17242945 23559599 24140123 26925256 27588712 33656570 34021820 34485890 47119198 48280246 67313140 68043640 68971780 94238396 96560492 117797995 120700615 134626280 137943560 188476792 193120984 235595990 241401230 471191980 482802460 942383960 965604920 1679462843 3358925686 6717851372 8397314215 11756239901 13435702744 16794628430 23512479802 33589256860 47024959604 58781199505 67178513720 94049919208 117562399010 235124798020 470249596040