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2684400435396 = 2236303412
BaseRepresentation
bin100111000100000010101…
…111000000000011000100
3100111121220111000021000000
4213010002233000003010
5322440123002413041
65413110241321300
7364640642135301
oct47040257000304
910447814007000
102684400435396
119454a2077729
12374308336230
131661a3bac8c4
1493cd609c0a8
1549c627dbbb6
hex27102bc00c4

2684400435396 has 63 divisors (see below), whose sum is σ = 7043561272573. Its totient is φ = 894770653680.

The previous prime is 2684400435373. The next prime is 2684400435461. The reversal of 2684400435396 is 6935340044862.

The square root of 2684400435396 is 1638414.

It is a perfect power (a square), and thus also a powerful number.

2684400435396 is a `hidden beast` number, since 2 + 6 + 84 + 40 + 0 + 435 + 3 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 440516273796 + 2243884161600 = 663714^2 + 1497960^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 88459186 + ... + 88489526.

Almost surely, 22684400435396 is an apocalyptic number.

2684400435396 is the 1638414-th square number.

It is an amenable number.

2684400435396 is an abundant number, since it is smaller than the sum of its proper divisors (4359160837177).

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

2684400435396 is an frugal number, since it uses more digits than its factorization.

2684400435396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60704 (or 30346 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 54.

The spelling of 2684400435396 in words is "two trillion, six hundred eighty-four billion, four hundred million, four hundred thirty-five thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2916 30341 60682 91023 121364 182046 273069 364092 546138 819207 1092276 1638414 2457621 3276828 4915242 7372863 9830484 14745726 22118589 29491452 44237178 88474356 920576281 1841152562 2761728843 3682305124 5523457686 8285186529 11046915372 16570373058 24855559587 33140746116 49711119174 74566678761 99422238348 149133357522 223700036283 298266715044 447400072566 671100108849 894800145132 1342200217698 2684400435396