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3373971490048 = 28173222134301
BaseRepresentation
bin110001000110010000010…
…111110100010100000000
3102221112210212121100012211
4301012100113310110000
5420234343200140143
611101551530231504
7465522105321325
oct61062027642400
912845725540184
103373971490048
111090990a46325
12465a94285594
131b6219824b63
14b94302a2b4c
155cb7100649d
hex311905f4500

3373971490048 has 72 divisors (see below), whose sum is σ = 6776940078216. Its totient is φ = 1676430336000.

The previous prime is 3373971490039. The next prime is 3373971490061. The reversal of 3373971490048 is 8400941793733.

It can be written as a sum of positive squares in 4 ways, for example, as 721086292224 + 2652885197824 = 849168^2 + 1628768^2 .

It is a super-2 number, since 2×33739714900482 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3373971489974 and 3373971490001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 98346498 + ... + 98380798.

It is an arithmetic number, because the mean of its divisors is an integer number (94124167753).

Almost surely, 23373971490048 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 3373971490048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3388470039108).

3373971490048 is an abundant number, since it is smaller than the sum of its proper divisors (3402968588168).

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

3373971490048 is a wasteful number, since it uses less digits than its factorization.

3373971490048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36711 (or 36697 counting only the distinct ones).

The product of its (nonzero) digits is 13716864, while the sum is 58.

The spelling of 3373971490048 in words is "three trillion, three hundred seventy-three billion, nine hundred seventy-one million, four hundred ninety thousand, forty-eight".

Divisors: 1 2 4 8 16 32 64 128 173 256 346 692 1384 2221 2768 4442 5536 8884 11072 17768 22144 34301 35536 44288 68602 71072 137204 142144 274408 284288 384233 548816 568576 768466 1097632 1536932 2195264 3073864 4390528 5934073 6147728 8781056 11868146 12295456 23736292 24590912 47472584 49181824 76182521 94945168 98363648 152365042 189890336 304730084 379780672 609460168 759561344 1218920336 1519122688 2437840672 4875681344 9751362688 13179576133 19502725376 26359152266 52718304532 105436609064 210873218128 421746436256 843492872512 1686985745024 3373971490048