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3537216742444 = 22711411873149551
BaseRepresentation
bin110011011110010010100…
…011000010010000101100
3110112011011201100101120221
4303132102203002100230
5430423204441224234
611304550330421124
7513361346136640
oct63362243022054
913464151311527
103537216742444
1111441416aa660
124916528917a4
131c8734215768
14c32b8bc0c20
156202782eeb4
hex337928c242c

3537216742444 has 96 divisors (see below), whose sum is σ = 7910070884352. Its totient is φ = 1343796480000.

The previous prime is 3537216742441. The next prime is 3537216742459. The reversal of 3537216742444 is 4442476127353.

It is a super-2 number, since 2×35372167424442 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3537216742391 and 3537216742400.

It is not an unprimeable number, because it can be changed into a prime (3537216742441) 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, 23577469 + ... + 23727019.

It is an arithmetic number, because the mean of its divisors is an integer number (82396571712).

Almost surely, 23537216742444 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 3537216742444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3955035442176).

3537216742444 is an abundant number, since it is smaller than the sum of its proper divisors (4372854141908).

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

3537216742444 is a wasteful number, since it uses less digits than its factorization.

3537216742444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151487 (or 151485 counting only the distinct ones).

The product of its digits is 13547520, while the sum is 52.

The spelling of 3537216742444 in words is "three trillion, five hundred thirty-seven billion, two hundred sixteen million, seven hundred forty-two thousand, four hundred forty-four".

Divisors: 1 2 4 7 11 14 22 28 41 44 77 82 154 164 287 308 451 574 902 1148 1804 1873 3157 3746 6314 7492 12628 13111 20603 26222 41206 52444 76793 82412 144221 149551 153586 288442 299102 307172 537551 576884 598204 844723 1046857 1075102 1645061 1689446 2093714 2150204 3290122 3378892 4187428 5913061 6131591 6580244 11515427 11826122 12263182 23030854 23652244 24526364 42921137 46061708 67447501 85842274 134895002 171684548 269790004 280109023 472132507 560218046 944265014 1120436092 1888530028 1960763161 3081199253 3921526322 6162398506 7843052644 11484469943 12324797012 21568394771 22968939886 43136789542 45937879772 80391289601 86273579084 126329169373 160782579202 252658338746 321565158404 505316677492 884304185611 1768608371222 3537216742444