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40819628980 = 225131794871801
BaseRepresentation
bin100110000001000010…
…100001101110110100
310220100210100000002101
4212001002201232310
51132044311111410
630430254151444
72643356056444
oct460102415664
9126323300071
1040819628980
1116347686469
127ab24b2584
133b06b18a20
141d933a6124
1510dd939d3a
hex9810a1bb4

40819628980 has 96 divisors (see below), whose sum is σ = 93073155840. Its totient is φ = 14948582400.

The previous prime is 40819628947. The next prime is 40819628989. The reversal of 40819628980 is 8982691804.

It is a super-2 number, since 2×408196289802 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40819628989) 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, 22664080 + ... + 22665880.

It is an arithmetic number, because the mean of its divisors is an integer number (969512040).

Almost surely, 240819628980 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 40819628980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46536577920).

40819628980 is an abundant number, since it is smaller than the sum of its proper divisors (52253526860).

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

40819628980 is a wasteful number, since it uses less digits than its factorization.

40819628980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2489 (or 2487 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 55.

The spelling of 40819628980 in words is "forty billion, eight hundred nineteen million, six hundred twenty-eight thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 179 260 358 487 716 895 974 1790 1801 1948 2327 2435 3580 3602 4654 4870 6331 7204 9005 9308 9740 11635 12662 18010 23270 23413 25324 31655 36020 46540 46826 63310 87173 93652 117065 126620 174346 234130 322379 348692 435865 468260 644758 871730 877087 1133249 1289516 1611895 1743460 1754174 2266498 3223790 3508348 4190927 4385435 4532996 5666245 6447580 8381854 8770870 11332490 11402131 16763708 17541740 20954635 22664980 22804262 41909270 45608524 57010655 83818540 114021310 156998573 228042620 313997146 627994292 784992865 1569985730 2040981449 3139971460 4081962898 8163925796 10204907245 20409814490 40819628980